The absolute most that you need (unless you have something most unusual) is 1 (one) 20 amp circuit. That requires 12ga with ground from your panel & a 20 amp breaker. Use a hospital grade outlet.
From that single outlet use a 15 amp or 20 amp multi outlet strip to plug in all of your gear. Note: The only grounded component should be your preamplifier. Use cheater plugs for everything else. Otherwise you will be chasing ground loops to no end. If you don't have a preamp then you will have to experiment.
One 20A line is certainly an option. And 12g is fine for short runs from the service panel. But to recommend grounding one component and using cheater-plugs all around is irresponsible.
And the theory for using one dedicated line is to prevent ground-loops. With all components tied to the common grounding buss bar there should be equal ground potential (impedance) unless one of the components is not using a proper grounding scheme.