Do you know Ohm’s Law?
What voltage does an Audio Amplifier run at?
What is the Impedance of your speakers?
What would be your total (Maximum) current draw, for this circuit ( voltage )?
Then do a direct conversion from this voltage to 120 volt circuit, what is the multiplier?
What is the maximum current draw at 120 volts direct relation multiplier.
Certified Electrician work below prefered -
Stay away from big wire for 120 volt home plugs, they are not constructed physically for wire sizes over 12 gauge, no greater than 20 amps, danger!
I’m sure that worst case scenario you would ever draw more that 13 amps at 120 volt.
Make sure all plugs are on the same buss bar in the panel, or if you do run a 20 amp circuit, wire (12/2 prefered forcing you not to have the extra hot wire to split the red and black onto seperate busses, which is a potential noise disaster), 20 amp single pole Breaker and 20 amp 120 volt plug ( or plugs as you can configure 2 duplex 20 amp plugs on the same 12/2 wire and 20 amp single pole breaker).
Ground loop hum could be a disaster negating any benefits to having all this powerful equipment. Can be caused by cable satelite or cable TV coax, all those multi switch and amplified devices should be on the same bus also. Your cable company or satalite dealer will supply you with a coax ground isolation device, as this is most times the main culprit for audio system noise.
Stranded copper not required ( or allowed most times) for 60 hz electrical wire.
Audio circuit conversion done by your amplifier creates the frequencies needed for audio so stranded wire for skin effect at these various frequencies is probably a good idea. ( more conductor surface area). Depending on the frequency electrical elements travel on the surface of the wire only.