I never remove the breechplug. I swab with a patch lightly dampened with 91% isopropyl alcohol from WalMart - sometimes just one side of one patch, sometimes both sides of the patch. In a warm barrel the alcohol evaporates quickly so I don't bother to follow with a dry patch.

When I'm doing a final sight-in of a hunting load I swab with both sides of a fairly damp patch, followed by both sides of a lightly dampened patch, followed by both sides of a dry patch. This pretty much results in a fully clean barrel (or near enough to one) which is what I use on a hunt.