What I do for between shots at the range is I have a lil glass jar with patches that have been soaked in window cleaner and then squeezed almost dry. (the blue stuff) I do a wipe with the damp patch followed by a wipe with a dry patch. Next shot I'll flip them over and wipe with the clean sides. (saves patches)
For afterwards: I first pull my breach plug & bolt (I have a Knight Extreme) and soak them. I use a torch tip cleaner to run thru the nipple and a drill bit (by hand!) to clean the plug's inside passage. Depending on the powder you chose, the hot soapy water method works just fine for the barrel (and the plug). Just be sure then to patch until totally dry and follow with a good oil. Not WD-40. That stuff evaporates away leaving the metal eventually bare.
If you shoot a powder that creates crud or gums up then a barrel solvent is fine too. Just always oil.
I leave mine disassembled then until the next usage. The trigger assembly can get gunked up too. Does not need to be disassembled but can be removed and sprayed out with like brake cleaner and then oiled up again. I've been ignoring mine a bit. Word is it may eventually not cock right or may get bump sensitive.
I bought some highly recommended spray-on storage oil stuff at Cabelas but at the moment I can't remember what it is! Danged old age!

I also wiped everything else down with oil. I kinda like my guns well oiled. Probably over-oiled.