If you really want to treat that barrel like it's gold, read through this excellent article on how some of the top benchrest shooters take to these chores - my regime is based directly on these recommendations:
http://www.6mmbr.com/borebrushing.html
My simple answer to your question would be:
- Get either a Dewey coated rod or a Tipton Carbon Fiber rod.
- Get a custom made
Lucas Bore Guide made to perfectly fit your action as well as the cleaning rod you choose.
- Use only quality, proven cleaning products along with quality nylon brushes - skip the bronze brushes. Let the chemical products do their job - there's no reason to rip the crap out of your barrel with bronze brushes. Again, refer to the article above, and read it over and over. Then run through the other technical articles on that site, as well as all the archived blog pages - you will gain a ton of understanding.
- Brush in one direction only - breech to muzzle - unscrew patch holder/brush/jag and pull rod back through, then do it again...
If using a Tipton Carbon Fiber rod, only push it out the muzzle far enough that you can unscrew the item from the end - you do not want to allow the actual carbon fiber rod to touch the crown area - the end of the Tipton rod has a two inch brass header, so this should not be a problem. Carbon fiber is quite abrasive so you have to be careful of this fact - but it's so rigid in the bore (does not flex easily, and if it does it springs back to it's perfect, exact original state - nothing else does this as well).