Congratulations on the new house.

A 1950s kitchen comes with baggage you cannot see. In addition to the broken cabinets you may have asbestos in the floor tiles (underneath those vinyl tiles), and possibly rag wire-insulated electrical wiring. Save yourself the headache and forget about a full gut.

From what I can see, here is what you might want to consider.

• Floors: consider a floating click laminate. I only mention it now because it is easier to deal with before you make other changes.
• Cabinets: If you cannot replace them all, replace every broken cabinet with Ikea Sektion cabinets. They are affordable, fairly easy to install, and the only thing you actually need in that space. Keep the vintage oven if you need to, keep the counter and sink, but replace those lower cabinets now, before you try to move into the space. Paint the rest of the old cabinets to match. I’m guessing you need a 36” sink cabinet one 15” and two 18” cabinets. That will cost you $661 in their least expensive cabinet (below).

You have laminate counters. Did you know that you can keep the substrate (what the black is glued to) and replace the laminate for a fraction of the cost of getting new counters? And there are beautiful laminates available today that are a great value. When budget permits, consider that change. Best of luck.

If iit were mine i’d get an efficient newer dishwasher right away. original untouched property from the 50’s means surprises lurk . i would have certainly been shrewd about money paid for the place so to have funds avail for necessary updating of things. not sure what your situation is w funds / goals / timetable but id wait and evaluate . original windows? the whole home's carcass/ shell should get attention before piecemeal things done to kitchen which sucks time, money ,and energy. We did the necessary replacment finally in 2019 of siding /windows//HVAC/ electrical...house built in 1980 and that was plenty long enough to wait . 75 year old property ? in original state??? / so assess accordingly for whatever funds you have.

That kitchen doesn't have many windows. If you paint the cabs navy, the kitchen will be dark. I'd go with a lighter blue. White walls won't go with your flooring, which I suspect you'll replace. We had crumbling asbestos-laden linoleum flooring in a 60s cottage. We put click-together floating laminate on top of it. Solved the problem.