I like to keep things simple. I once had a CVA kentucky pistol and would swab the bore with a wet patch, and pull the nipple and side screw to get inside the drum with a Q-tip. Swab until clean and then oil the bore and drum area. Wipe down the outside with a wet rag, dry and oil.
I have a Lyman Plains pistol now, I hold my thumb over the nipple, and pour water down the bore using a funnel, shake, dump out the water and repeat 2-4 times. Pull the nipple, soak it in water, and swab the bore with a patch until clean. Run a pipe cleaner down the drum, use a Q-tip, dry and oil. I also use an aerosol lube and squirt it down the bore to get into the nooks and crannies. Then use an oiled patch to get into the lands and groves of the bore, I rarely take the gun completely apart.
Wipe down the exterior with an oily rag, wipe the wood dry and re-install oiled nipple, with some grease on the threads, only putting marginal torque on the nipple. Zip zip, nice and fast. No rust. I always fire a cap before loading it the next time at the range to clear out any oil buildup.