JDewey 30 cal rods are fantastic. Get a longer bronze bore brush if it is your first cleaning. If it is rather old, get some stronger bore solvent like 7.62 and scrub, but Do not leave it in the barrel for long! 10-20 min maxpatch the bore cleaner out then follow with a patch of oil.

Oil all metal bits to prevent rust and get some linseed oilicon, it isn't terribly expensive but it will save your woods.

this is the procedure i've used successfully try out different stuff like gun oils and bore cleaners, everyone markets them as WONDER CLEANERS so try them out to find some good stuff.