Guys, I've been reading the posts on this in here and had mine delivered yesterday. I'm waiting now on some nylon brushes in various calibers but in the interim, I cleaned a couple centerfires.
My method was to run some Hoppe's Elite solvent through the bore and let it set for a couple mins. (This is a copper and powder solvent.) Then I gave the bore a scrubbing with a bronze brush and another Hoppe's patch. Then dry patches until clean. I then ran a patch down the bore using MX Cowboy. On each occasion, I could not believe the crud that came off that first patch. I continued with the Cowboy solvent until the patches came out cleaned, then dried the bore with dry patches. I then treated the bore with MX bore conditioner.
I am definately going to use this stuff on my MLs. Like most of you I am fanatical about having clean guns. It just amazed me how dirty my 'clean' rifle bores were.