I recommend buying a couple of bronze chamber brushes from Brownell's.
These instantly clean fouling from chambers without any soaking or polishing techniques.
Yep.
I put some Bore Shine (or other good solvent) on a patch and drape
it over the brush. I chuck the brush on a 12" rod in a hand bat-drill
and carefully revolve the brush in the chamber. The revolver is
mounted in a rest and I hold the cylinder with the left hand hand
and run the bush in and out while running the drill at its lowest
setting with the right hand.
After all the crud is out, I run a patch with some brake cleaner
on it thru the chamber(s). This is the only time I use brake cleaner
on a gun. It de-greases the chambers and dissolves carbon too.
(All my revolvers are stainless).
I have never been a big fan of shooting specials in a magnum
for the reasons stated above. The Special deserves it's own gun.
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Nemo