Get yourself a range ramrod and a T handle that screws into the other end. You can then put your ball puller on that, hook the T-handle under your feet or in the rafters and pull the load right out. Then some simple swabbing and your done.

If the rifle barrel is real cold, after you pull the round, let it warm up to room temperature and then swab the barrel dry of any moisture. I like to use an alcohol patch to do that. Then a couple dry ones, and finally a Birchwood Casey Sheath patch through the barrel and wipe the outside off and the rifle is ready to store again...