You will need to spend around $30 for a piece kit.
Start off with a solid one piece rod, add a few bronze bushes, a patch jig, a pack of 22cal patches, a AR-15 chamber brush, a Can of BreakfreeCLP, an AR type tooth brush and a can/bottle of barrel solvent to clean the copper out of the barrel.
As for rags, I pick up a box of painter rags that I can throw away when I am finished. Currently, I have been using the paper type, but like the white cotton type better.
P.S. The buttstock cleaning kit is ok for a while, but the rod sections bend if you do a lot of pushing instead of pulling. On the section type rod, you need to load from the muzzle, then pull the rig/brush/patch threw. With the solid rod, you can just push from the chamber with out worrying about the section lips scratching the rifling. As for the copper solvent, only use it on the barrel, the rest of the rifle clean with the CLP.
Hope this helps.