Nnobby45's cleaning kit.
Hoppes #9 that's saturated in the bbl. while I'm doing the rest of the gun.
Couple cleaning rods with different sized WORN OUT bore brushes
Couple cleaning rods with different good bore brushes. They're mostly used on revolver cylinders.
Some steel scouring pad type stuff for removing lead when needed.
Paper towels
Brass or steel brush for cleaning breech face, or barrel.
Dbl end brushes designed for cleanig extractor.
Yes, paper towels. I tear off the amount I need to match the caliber. There's a learning curve for a while until you learn how to do it without tearing thru the towel, but they work fine.
TIP: Learn how much to tear off, fold it, then fold over one edge again and stab it there.
I use Miltec grease for the SIG rails to protect the anodized finish. Good idea for any aluminum frame to protect the rails. You can mix it with lube.
Assorted lubes, like Breakfree, FP10, or Mobile 1 synthetic motor oil all work fine.