Can I replace my cabinet doors but keep my cabinets?

Maybe remove the handles sand em, stain em, then clear coat reattach handles!?

Absolutely. In fact when I looked into having my kitchen updated the cabinet companies were only going to add new wood door & drawer fronts. My estimates were all around 30K ,which I found too expensive, so I decided to sand & stain them myself! I then added fancy new cabinet door handles & new drawer pulls.Took all summer but turned out beautiful :)

I'd get estimates. I found the cost of replacement doors and drawer fronts are cheaper but in some cases not enough to not replace the cabinets. I'd just have the cabinets professionally painted in a good oil based paint. My mother in laws painted 1960s cabinets still look like new. We had them painted 14 years ago.

Okay, as for your first question...yes, you can replace the doors. Because my idea and your idea of ‘cost effective’ are possibly different, it might not be cost effective, but your options are somewhat limited. Warped, or cupped wood is almost impossible to deal with. What causes this to happen is that one side of the door gets more moisture (mostly from humidity) than the other. This is why, when working with wood, you do on one side the same as on the other. I’m guessing that this is the case, especially since it is in the kitchen. Think about this...when the door is closed the outside will be exposed to more than the inside.

I repainted my cabinets. Sanded enough for the paint to grip! It is important to let each coat dry 24 hrs. 2 coats of primer. Be sure it’s a bonding primer. I bought Zinzer. Then 2 coats of paint. Then a top coat of poly. Please make sure that each and every coat drys a minimum of 24 hrs. Then still be careful for a couple more weeks for it to cure completely.

use a paint gun or blow dryer to strip old paint then refinish as you want

Yes you can change the doors. The flat panel doors are cheaper than raised panel. You can go with beaded board for the panel. I'd go with popular wood for stiles an rails. I made some for my bathroom , an they came out nice.

Yes, I did work for cabinet shop for over 10 years.

We had good solid wood boxes with our kitchen cabinets, but very outdated thin doors. We had these and the drawer fronts replaced. Talk to more than one cabinet maker(3-4) to get a good idea of what a reasonable cost would be. Tell each one exactly the same thing and let them give you a bid. Also ask for references that will let you come see their cabinetry work. Call and talk to these references!! If people are happy with the work that was done, they are often quite happy to show off their pretty new cabinetry--or at least they will talk to you.