Just me, but I usually use a good powder/copper remover such as Butch's Bore Shine, to remove fouling from the bore and carbon build up on the bolt and receiver.
I brush clean, wipe dry, then lightly lube all moving parts with Mobil 1 0w-30 Synthetic, going a little heavier on the lube to the outer contact areas of the bolt carrier.
By the way, welcome to the forum!
Swing by the Introductions section if you get a chance and say "Hi" to the rest of the guys/gals
Hellfire, Doom, Watch the hatred spin
Beyond the speed of sound---
Fire it up, Let the engines roll
It's time to burn it down