Cleaning Old Bathroom Cabinets?
Try Restor-A-Finish. You can buy it for about $7 at Home Depot. When you rub it on it takes water marks and scratches right out. I used it on my kitchen cabinets and a coffee table I bought on Craigslist, which looks brand new now.
Staining Wood Furniture?
If youre only stripping off the varnish, make sure you get it all! Otherwise the stain wont soak into the wood as well. I have always gotten the best results when stripping everything off, even though it takes more work.
Removing Set-in Grease Stains?
Spray wd-40 on the stain, let it sit for 10 min, then rinse it out with water. Follow with a laundry pre-treat stain remover (Spray n Wash, etc), then launder.