keep the cabinets..change the hardware and lay a hardwood floor if it were my space. are you changing the backsplash? what is the green tape?

Paint the cabs, redo the tile behind the stove. none of your elements work together. the tile, the floor, the countertop (which really should have been more of a creamy white),,,those squares fight w/the brick. you should have just taken the countertop all the way up the back. or, do you have anymore of the brick? you could use that in place of the squares

if you do retile, remove that 4" piece.

if you can, think about doing a little niche where you have your green tape

I would not do a hex floor since that too doesn't work w/that brick. IF you want that gray color, then for sure paint the cabinets white or a light gray, or a creamier tone that matches your brick. the warm wood does not work w/the gray in those tiles. The samples you have on the floor should be a warmer gray. yours are too blue-gray to work w/your brick.

what if you did something like this?

these are a 24x24 porcelain that looks like limestone.

paint the brick

try a darker rustic wood floor. Let it recede....rustic will make you less preoccupied with things showing or the usual complaints about smooth dark floors. Just darker than the oak..need not be the darkest. Get some rustic hardware [iron or pewter]on the beautiful cabinets. Worry about your backsplash when you can...it is off, but the counter is done for now.

If you do not paint the cabinets, do not do a gray floor. Gray floors are trendy anyway - which means they will go off trend unless a classic looking style like a stone look tile. Gray and warm wood tones do not bring out the best in each other - they can be rather drab together. A natural or lightly stained hard wood or hardwood look floor will be more classic and go with either wood or painted cabinets.

This is a warm wood cabinet idea book. It has newer and also refreshed older kitchens:

https://www.houzz.com/ideabooks/75202366/list/wood-kitchens

If you paint the cabinets, either a green or creamy white might work - keep in mind that painting oak cabinets is not the easiest undertaking - quite arduous and I've seen both good and not so good results.

The brick is the best thing in this kitchen. I wish you'd asked for help before you selected the counters, but let's see if we can make this work. Ditch those sample floor tiles; they are all wrong for this space.

Do not do an inset over the stove. Let's find a better backsplash and remove the 4" lip when you retile.

BTW, why do you want to brighten the kitchen? It look plenty light and bright from here.

that looks good grover. I'm thinking if they wiped on a gel stain (after a thorough cleaning and a super fine sanding) just to refresh/deepen the wood stain, and got new hardware, it would be enough to complete the look.

option 2-painting the cab around the stove a warm, medium gray to match the brick. Maybe Chelsea Gray?

Also - don't underestimate the effect of under cabinet lighting. It makes a kitchen brighter, prettier, and it is so helpful - most functional change I made. I also have an oak kitchen - did not paint the cabinets - just new counters, backsplash, "short apron" apron front sink and under cabinet lighting. My backsplash is similar to what grover did to yours.

On my monitor, your brick looks pinkish brown while the cabinets are more orangey. You need to bridge that, and I think grover has made some great suggestions.

I'd probably pick a tile as close to the lightest brick and then go a shade lighter to see how that works with the counters. Personally, I like grover's second picture better because the contrast between counters and BA and floor is too much IMO in the first pic. But you really have to see the colors in place.

Do you have to replace your floor? What if you put a runner or rug down?

https://www.kylieminteriors.ca/the-best-paint-colours-for-walls-to-coordinate-with-a-brick-fireplace/