What are you thinking of doing? If it were mine i would start with a new chandelier for the breakfast table, new lighting fixtures for the kitchen, and a nice coat of paint for the walls. Then i would decide if i was painting the cabinets, or replacing them. Lastly i would decide what my countertop budget was. I would consider butcher block, Formica and Corian. You may be able to refinish the cabinets as well. Congrats on the new house. It takes some time to sort out all the options, logistics and expenses. Take your time.

If it was my kitchen, I would seriously consider all new doors and drawers....if the cabinet boxes are in good condition. Then get a good professional paint job. Get an estimate first. If you have odd-size cabinets, custom-sized doors and drawers will be more expensive. I would not spend money on having the current fronts prepped and painted.
With all the costs associated with moving, if your budget won’t cover the update now, just clean them up and save until you have enough for the job. We all want to have everything the way we want it ASAP, but that is often not feasible. Don’t put the expense on a credit card unless you have money in the bank to pay the whole thing off at once when the statement comes.
Fix or replace what must be done first. Cabinetry and counters can wait. I have had tile counters (yuk), Formica, Corian and granite in our several homes over many years. The only one I would never have again is the tile...too much maintenance.

...and I love my tile counters.

Good advice about waiting to do your renovation beyond a paint job. One thing you could do before you paint is remove the cabinets closest to the eating area to open up the window. Then patch the wall and paint. This would give you a more open feeling.

Plan to remove your bulk head and take the cabinets to the top for more storage c

realistically, the kitchen will require a full remodel. When the time arrives....and you should plan and do this in the future.....BE SURE and list the cabinets on craigs list as they are unique....[unless the filigree is just faux painted.....but it looks like a design scribed in the wood]...save money and live in the home for the near future.

There is so much more information needed to provide any type of good advice.

When you buy a new home there are several things you need to think about before thinking about renovations:

- what style decor you are going to have. I have all Mid Century Modern furnishings. This kitchen would be a sore thumb against everything else I own and love. My sister in law has all country furnishings. She would love your cabinets.

- how long are you planning to live in the house. Most renovations have a negative return on investment, but bring you joy. If your going to experience the joy for 20 years it may be worth more money than if you will only be there 5 years.

- budget. How much can you reasonably afford to spend on renovations.

- what works and what doesn't work for you and your family. This is figured out in the first 6 months that you live in a home. What do you hate, what do you love, what is in disrepair and needs to be upgraded/fixed/replaced.

- color scheme. what colors do you want in your home. How are those colors going to flow through your home. How do the rooms relate to one another.

That said - this looks like a perfectly functional kitchen. It doesn't need any changes to work for an average family of 4. The whole space is very neutral, so I would want to add color. This can be easily done with paint and a centerpiece on the table and some type of window covering or a few pretty things for the countertops.

As others have said, move in first and live with the kitchen as is for at least 6 months. Then figure out what your budget is and what you really want to do.

A full kitchen gut and remodel or just a freshening up? What works and what doesn't work?

I also would suggest living there for at least 3 months to see how the space functions. Then IMO a full on redo for the space . Use some money to get a kitchen designer involved if at all possible then work toward a plan. If the floors in the rest of the house are wood I would start by deciding to have the same floor in the kitchen, All new LED lighting can be planned now before even thinking about color for anything. Small kitchens can be very functional if designed properly .I would start by getting bew appliances that match in stainless and a counter depth fridge then when the time comes to design the new space they can be used in the new design too.To be honest those cabinets are not worth the hassle of careful removal on the off chance they might sell on CL. Think about what is important like do you need a table and chairs in the kitchen, if that window could be made a little higher off the floor you could have a much different kitchen with some stools at a much need counter .Part of the reason for waiting before spending any money .

Here's a Houzz article on U-Shaped Kitchens. This is a very efficient layout for small kitchens, especially when you have a nice eating space as you do.

https://www.houzz.com/magazine/kitchen-layouts-ideas-for-u-shaped-kitchens-stsetivw-vs~212922

Looks like a functional kitchen. Live in it for a while and see if works functionally for you. If you find you can live with the footprint as is then plan on refacing the cabinets in a style you like (sorry, they can't be saved), replace countertops, sink, faucet, lighting, etc. Can't tell by your photos if you have a dated floor. Replace if necessary. Would be good to take cabinets up to ceiling for extra storage. A good kitchen refacer could add boxes to top of your existing boxes, then cabinet doors to the ceiling. If you find your existing footprint isn't working for you and you need your space to function more to your needs, up the budget and contact a good kitchen designer, they can maximize a small space. Good luck!

All great ideas. I’m going to take your advice and live in it a while before making plans even though that sounds no fun! ;) it makes complete sense though. I guess I should wait on the immediate new floors then as well in case we want to change something in kitchen later. :(

Feel good that you can devote yourself, and your budget, to the rest of the house. Kitchen renovation is a big, expensive undertaking. You can get yourself settled and see what you like and dislike after living in your new house for a year.

Live in it, give it a good try-out and see what works for you and what doesn't. Start an ideabook here on Houzz of looks/features you'd like. Once you see a theme emerge, then start replacing the light fixtures in that style. They'll inspire your major changes and will help it feel better to you sooner. Other priorities may surface that take all the kitchen budget; how old are the appliances, is the plumbing and electric good and up to local code, what about the HVAC? Don't rush to make it look pretty; make it and the entire house function properly before focusing on form.