To clean the bore leading, buy a Lewis Lead Remover Kit from Brownell's.
It removes leading from the bore fast and with no soaking for hours or days.
The kit includes a special cleaning tip specifically to clean leading, copper bullet jacket, and carbon fouling off the critical forcing cone in the rear of the barrel.
This is the best, safest, and fastest way to clean the cone area whether you shoot lead or jacketed bullets.
For chambers, go the fastest, easiest, and most effective way: Buy a couple of bronze chamber brushes from Brownell's.
These are not just over-sized, they're made of much stiffer bristles than bore brushes.
Usually one pass though the chambers will remove all build up, including jacketed bullet fouling:
http://www.brownells.com/.aspx/pid=21587/Product/LEWIS-LEAD-REMOVER
http://www.brownells.com/.aspx/pid=1287/Product/BRONZE-RIFLE-PISTOL-CHAMBER-BRUSHES
For the front of the cylinder, you're better off to leave it alone to prevent damaging the bluing. Clean the cylinder front only if the build up begins to affect cylinder rotation. Trying to make the front look like brand new and unfired will do damage to the finish.
On a blued gun, if you must clean it, buy a jar of Slip 2000 Carbon Killer.
Put patches on the front of the cylinder and soak with the Slip 2000.
After about 15 minutes, scrub with a brass "toothbrush".
One treatment will usually remove all the fouling.
http://www.brownells.com/.aspx/pid=23534/Product/SLIP-2000-SOLVENTS