Justin,
These are both great questions. "Hand washing" is a form of an acquitment. That means that while one object moves from hand to hand visibly another is moving invisibly. Acquitments are best executed with the cover of the visible object but when they aren't, its called "hand washing" In saying that you want to learn "some" hand washing, I will assume you don't have a real use for it yet. Find a situation where it would be useful to acquit then search for the sleight. Learning it without a purpose or proper understanding of its uses would be detrimental to your magic - i.e. unnecessary hand washing. It is very easy to fall into the trap of constantly "showing your hands front and back" again and again ad nauseam. The truth is to show your hands convincingly empty you would just hold them up and show them empty. Not flop them about and rub them.
There are several examples of acquitments, as well as ditches in the classic coin text, JB Bobo's Modern Coin Magic.
This book is a great starting point for anyone interested in coin magic. A few which come to mind as being well motivated, easy, and practical are the "wuffle dust" ditch, breast pocket ditch,and a personal favorite, the Malini ditch. Bobo's book also talks about sleeving, cuffing and several other interesting ways to move coins about unseen. Please feel free to PM me if you would like to discuss these things in greater depth.
Edward