When you are done shaving, what's the proper way to store your razor?

I dried mine off, closed it (I think there may have been a bead of moisture in the handle), and now I have a wee rust dot on my blade.
So I guess I really have TWO questions:
1) how to properly dry/store a razor after use
2) how to get rid of a lil' spot of rust (or it's a discoloration, at the least) off of my blade.
(stropping on linen then leather has yet to bear fruit)

Thanks!