Yes the CP Pro comes stock with the BH.

The diffrence from 4 chan and 6 chan is that there is an extra chan to change the pitch of the blades. So the helicopters pitch can be adjusted on the fly instead of being fixed. This is what allows you to go inverted, you can not fly inverted with a 4chan heli. Notice that little idle up switch? Thats what this is for, changes your pitch/throttle curves.

Here is the diffrences from the blade cp and the cp pro:
cpp comes with BH stock
cpp has li-po battery instead of nimh
cpp has symetrical blades instead of flat bottom
cpp has a 9T main motor pinion instead of 10T
cpp has a 3 in 1 and reciver instead of 4 in 1

Having the 3 in 1 makes serveral things easier
1) it is easy to upgrade to a brushless motor
2) you can easily install a better heading lock gyro
3) if one of the peices frys it is cheaper to replace (you should install a couple fuses to help protect your 3 in 1)

Hope that helps....you can search some of those items to get more indepth info