Actually I think the 336 is easy to take apart. Unscrew the lever hinge screw and pull the lever out, then the bolt. Put it back together in reverse order. Rifles should always be cleaned from the breach if possible. Any damage to the rifling at the muzzle by the cleaning rod will result in poor accuracy. Apply some copper solvent with a brush. Run some patches through it until they come out clean. Run an oily patch through, followed by a couple of dry ones and you're done. Don't bother cleaning the .22 barrel. If you have gunk in the action, though, clean it out.