I have found that you can assemble a much better kit with the components mentioned below than the ones that come in a nice pre-assembled box.
Brownell's brand of Cotton Patches and Bronze Brushes, Dewey Rods, Jags & Loops, a few stiff tooth brushes, your favorite solvent (good ol' Hoppes will suffice - or Remoil or Rig #2 Oil for a "one step" cleaner/solvent/rust prevention) and a tweezer is really all you need for a proper cleaning.
I like to remove the cylinder before cleaning it. It makes the task much easier off the revolver and it is less of a strain on the yolk, and ejector rod. To accomplish this you need to also get a good quality, proper fitting hollow ground screwdriver to remove the screw that retains it - Brownell's sells them too.
Chief38