Mastro, are you getting a blued DS, or nickel?
Hoppes #9 is a healthy, all natural mixture of kerosene, alcohol, and ammonia
which works pretty well for general cleaning in the bore of the gun and chambers of the cylinder. For a revolver it should do fine, though there are better cleaners for high powered rifles, like Shooters Choice, JB, or Butch's Bore Shine.
The ammonia in #9 tends to corrode brass, so it's not too good to clean the cylinders and then load the gun, if you plan to leave it loaded. I like to finish out the cylinder with a good oil, like Break Free or Rem oil, then dry it, to ensure that the corrosive cleaners aren't left in the chambers.
If you ever get lead in the bore a Lewis Lead remover (or a LOT of brushing) will get it out.
If you have a Nickeled or stainless revo there is a cleaning cloth sold which has a mildly abrasive paste on it, which works well for cleaning the powder deposits off the outside of the cylinder. I forget the make, and mine is packed away at the moment, but it works well on stainess. I haven't had a nickel revo in a long time, but use caution on them as I recall the nickel scratches pretty easily.
I really like Bore Snakes, as they are convenient to store, easily carried in range bags, or packs, and allow cleaning from the breech forward, which is a little better for the barrel.