Are the cabinets still installed?
That makes a huge difference and are the doors off?
Do you have a way to post photos?
Chances are the original finish was sprayed on in a factory and may have had some tint added or clear over a stain. Very difficult to remove a factory finish that may be heat cured, I donno?
If possible take them down, strip off all the doors and hardware and be prepared to invest some time and labor in stripping off the original finish. Maybe even have them stripped professionally which is still cheaper than new cabinets. The doors will be the easiest, since they can lay flat while the stripper does it's thing.
Most people unfortunately, leave finishing as the last step in the whole process, kind of an after thought that can either make or break it. Always experiment when refinishing anything to find the combination of stains, solvents, topcoats that work together to make the best finish.
As a last resort you might consider having them spray painted
or even do that yourself. I don't know your capabilities. Woodworking is a skill separate and apart from finishing which in itself if part art, part chemistry, and part science.
Photos of what you have will help for more advice.