IMO, many people go way overboard cleaning their revolver. There's absolutely no need to remove the cylinder or sideplate for routine cleaning. There's absolutely no need to get the cylinder face shiny & like-new, and there's absolutely no need to go to heroics (such as putting a brass brush in a drill) to clean the chambers.
For routine cleaning, I run a patch through the barrel from the breech end (using an Otis cable). I wipe the gun down with some solvent & a patch (being careful around the muzzle crown) then use a patch on the chambers. Follow up with a few passes of a brass brush in the chambers, then another patch, finishing with a clean patch. Wipe the whole gun down, and I'm done.
Every so often, in addition to the above, I'll use a brass brush (the kind that looks like a toothbrush) on all surfaces, then wipe clean.
About once a year (or about 15k rounds) I'll pop the sideplate and remove the cylinder, then clean the innards & re-lube.