This is a wonderful forum for design however a bit more information is required for the community to assist:
A detailed floor plan of your space will help with your request.
$6000 is a very limited budget for a kitchen renovation especially if you feel the flow is wrong. How much of the work are you willing to do yourself?
Try to start an idea book on Houzz of inspirational kitchens for style, colours, etc.
Best of luck. You have a wonderful group here to help you.
Cheers.

What are your favorite aspects of the kitchen? Least favorite?

Where is your pantry? Can you give us a floor plan with measurements? Get an overall plan before doing anything - for a unified look. Painting the walls and adding curtains may make a lot of difference. I'm extremely frugal, so I'm going to have a different approach to this. In my opinion, backsplash can be removable wallpaper - that's going to be very reasonable in cost. Just Goggle "removable wallpaper for kitchen backsplash". https://www.target.com/p/smart-tiles-3d-peel-and-stick-backsplash-4-sheets-of-9-80-34-x-9-74-34-kitchen-and-bathroom-wallpaper-ravenna-farro/-/A-79799189?ref=tgt_adv_XS000000&AFID=google_pla_df&fndsrc=tgtao&DFA=71700000012510712&CPNG=PLA_Home%2BImprovement%2BShopping&adgroup=SC_Home%2BImprovement&LID=700000001170770pgs&LNM=PRODUCT_GROUP&network=g&device=c&location=9004728&targetid=pla-901933209786&ds_rl=1246978&ds_rl=1248099&ds_rl=1247068&gclid=Cj0KCQiAyJOBBhDCARIsAJG2h5f4375GjBuCtxKJmQ36I1ocDQpirWMtbSwM9vt806Z1Bj2D25ms2MgaAhOkEALw_wcB&gclsrc=aw.ds

The cabs can be painted if in good shape (real wood, no irreparable damage). Get a pro to do it. The pro can do the walls also. Get referrals from neighbors, family, friends, co workers, pastor, etc. Send out an email blast. Make sure to put them BBC on the email. If some damage, you can replace the doors only. You have very little counter space between the stove and fridge. Try to leave that space clear and put those items elsewhere. The kitchen triangle is the sink, stove, and fridge. Ideally, there should be some counter space so that if you take something out of the fridge, you can put it down on counter right next to it. Here, you can't do that. Yes, get a new countertop. Put the money you saved in the bank!!!!

For $6k you could do new quartz counters and backsplash if you DIY the tile backsplash yourself. Then, add in a new under-mount sink and you've got yourself a good update until the next 10yrs rolls around.

for 10 more years I would source the doors from the maker and swap for glass ready for the wall cabs....ok to leave a few of the arch. Same stain tone ..and source some glass locally [seeded is nice] and put those on the walls. the issue of separation of the work triangle between sink stove and fridge is noted. this would be corrected/changed in a whole renovation. I might get an upgrade now w a new formica counter...choose a pattern . [Or] entry level granite, and add a backsplash if you feel inclined. Would not spend on quartz counters now. You really could do the formica ,granite ,or corian on sink wall and butcher block on fridge/range area. that could be really nice, not expensive, w some glass doors on the walls.

Thank you for replying. The cabinets aren't solid wood so not sure how well they'd come out painted & with my tile floor Im not crazy about white. I think I like the white. oak/natural look with some glass upper cabinets. The entry closet is tucked next to the end of counter near coffeemaker. its a white closet door. W repainted the kitchen a few months ago (it was still a rusty tuscan orange). I cook a lot & would love a washable backsplash. I'll try to put together a floorpan. Im not sure - how? thanks again - new to this and I do know its not a lot of money to work with but that's it for now unfortunately for kitchen. :-(

1) Replace the counters with new laminate that is not pink (or consider butcherblock as suggested).

2) DIY Paint the cabinets for < $200 in paint and supplies.

20 Tips on How to Paint Kitchen Cabinets
https://www.familyhandyman.com/list/surprising-tips-for-painting-kitchen-cabinets/

3) Paint, or DIY a simple tile backsplash.

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ETA: As a quick pick-me-up clear the counter to the right of the stove with some wall storage

and set down a couple 12" stone tiles for around $10 each.

This is a tricky situation. I understand why you’d like a change, but the budget (and what’s appropriate for the overall price point of the house) really limits options unless you are super DIY savvy. You might be able to relocate the fridge if you can remove and rearrange your existing cabinets into a new layout, but that’s way easier said than done. Just uninstalling cheap cabinets without damage can be difficult, and if something is damaged, then you’re really in a bind.
Would putting expensive stone on your current cabinets and layout really make you happier? Some people see it as lipstick on a pig, others as the finishing touch.
I’d keep it simple. Fix the broken door under the sink, consider the wallpaper backsplash idea, maybe a new, colorful laminate top, new pulls.

I would continue the wood floors into the kitchen with the 6k.,

Is the current pantry space wide enough to have the fridge there? If so, get an estimate to have that done. Then you can install a cabinet next to the stove, or have a free standing piece there. I think that change would markedly improve your work flow and give you space in the cooking area. If you have money left , replace all the counters with laminate in a pretty color, not beige.

If there isn't enough room to do this in the pantry area, then you'll be stuck with this layout until you can have a complete redo. I agree that spending on quartz for this layout is a mistake.

Good luck!

No, I would not put anything other than an inexpensive stock laminate on the cabinets if you feel you absolutely can't live with the beige. I spy an Ikea catalog - maybe you could get some improved storage so you can clear your countertops as much as possible. Take the stuff off the tops of the cabinets (it draws the eye up and really emphasizes that your cabinets don't go all the way to the ceiling). Repair all the wonky doors and drawer fronts. Get a pretty rug. Maybe put washable wallpaper as a backsplash - bring in some color but don't make it too busy. I wouldn't spend more than $500 doing a simple refresh. Put the rest in savings and start adding to it for a future remodel when you can rearrange the space, get new cabinets and appliances.

Thanks for info. Since you aren't going to remodel for at least ten years, fix the things that bug you most and that can be easily changed.

You can get estimates for new Formica and new quartz at the same time when you are comfortable having someone in your house to measure.

In the meantime, fixing the broken hinge on the sink cabinet door could be a quick repair that will give you a better everyday impression of how your kitchen is working for you.

Thanks everyone! There is room to move the the fridge to where the pantry closet is. I suspect that is where it was intended to go and it looks to me that the stove was supposed to go where the fridge is now. I'd like to eliminate a window at the end of that counter because there are more windows than I need to give myself more counter/storage space eventually.

If I were to go paint the cabs what color would I do that wouldn't look too off with my floor tile? I do like SW alabaster & BM White Dove but not sure it meshes with the rest of the house. We owned some of our furniture and this is our first home (prob our last too here in Long Island, NY). Thank you so much for all your recommendations.

eta: apple_pie_order, I am married to Bam-Bam from the Flinstones cartoon he broke that hinge lol!

I'm assuming that there will not be a major renovation any time soon or I would tell you to wait, and not waste money now. If you see nothing happening, or your budget not increasing in the next few years, then you want to make that 6K go as far as possible. I don't think I'd paint the cabinets now. Builder grade cabinets often don't paint well as they are not real wood. Here are some things to think about. Fixing the hinge on the sink base is a no brainer, at zero cost. Since you can't really make any layout changes you've got to pick and choose the things you can do. First, you DO have a backsplash. It's that 4 inch piece of laminate on the wall. You either have that OR you have a tile backsplash that goes from under your upper cabinets down to the counter. You do not have both. If you change the counters, I wouldn't waste my whole budget on quartz. You could replace it with new formica in a better color and without the rounded edge. You can also price out Corian which is a great solid surface that holds up well over time. Although I love butcher block, I wouldn't use it with your current wood cabinets. If putting in new counters, I'd get an inexpensive subway tile for your backsplash and a single bowl under mount sink with a new faucet. Maybe some new hardware on the cabinets. Your arched cathedral upper doors date the space. If you know the manufacturer of the cabinets, you could replace the upper doors to look like the lower ones. Get prices on all these things and see what will work within your budget. Remember, you can always paint the cabinets at a later date. These are some of the things I would think about now.

If your plan is to change the layout, then I agree with JuneKnow. Invest in a 5-year CD so your kitchen fund is earning interest (and you'll be less likely to tap into it for non-kitchen expenditures), then when it's mature, take stock of your budget and start planning a full remodel. BTW, I don't think your counter is screaming doctor's office--I like it.