This will probably seem strange to some, and up front I'll say that I've never used this method on parts from a PRS. But on many other brands over the years this always worked well without any ill effects.
I'd take the piece of hardware I was working on and soak it in a small container (a cut off paper cup, etc.) of lighter fluid. Then I'd use old toothbrushes, along with pipe cleaners, Q-Tips, cotton balls, or whatever else I needed to get all of the gunk off. Then I'd rinse everything in warm soapy water, and let it air dry on a towel. If I was in a hurry I'd use a hair dryer to speed up the drying process.
As far as polishing parts, I've used most of what others have mentioned here and had no problems.
Goldtop