In theory, the running of a dedicated line to your stereo should help to eliminate "noise" created by other appliances sharing the line. TV would be a good example. Keeping in mind that both power conditioners and your amplifier are supposed to be able to clean up the power source, filter out all the noise and eliminate ground loops, it's questionable how much a dedicated line adds to the overall sound? If you choose a 20 amp breaker, your local building code likely mandates a 12 gauge wire. Depending on your system, even this may be overkill. During operation, your average stereo probably pulls less than 2 amps. The standard 15 amp breaker on 14 gauge wire should never be a problem. Having said that, if your taking the time and trouble to run a dedicated line, I would go 12 gauge/20 amp. 10 gauge wire is quite costly and not required.