There are two ways you can go -- refinishing or refacing. Refinishing involves stripping the old finish while refacing involves replacing the doors and drawer fronts along with new veneer over the rest of the cabinet.
Refinishing is major work, but you can send the doors out to be dipped rather than strip them by hand. It's messy, time consuming work. Get a quality wood stripper and follow the instructions. It isn't hard, just messy.
Refacing is also time consuming and requires more skill than refinishing. You'll need to get new doors, drawer fronts, and veneer. There are places on the internet that sell these pre-finished. You'll also need some veneer "tape" for other exposed surfaces.
I'm considering a similar refresh to my kitchen and will probably reface rather than refinish.
Good luck!
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