RE: CLEANING
Leave a light (visible) film on all metal parts when storing a firearm. Better a little too much than too little for storage purposes, just make sure you wife off any excess from the action and outside before you shoot it again. I even run a damp oiled patch through the bore when storing, but make absolutely sure that you run a dry patch or two through before you next shoot the rifle.
I use Breakfree CLP as my primary lubricant and preservative. It's very effective, and when used properly provides excellent protection and lubrication without attracting a lot of dirt. Apply a light coat to everything and it'll dry to an invisible barrier. It's got teflon to lube moving parts (which require VERY LITTLE lubrication to function correctly). I use it on all my guns, most of which are blued but a couple stainless (which CAN and WILL rust if conditions are right, it just takes longer than with a blued chrome-moly steel barrel) and never have had a rust problem.
Mike