You will not regret making the investment in a dedicated circuit for your system. I've done it three times, in three difference houses, and it's always made a nice improvement.
Some additional thoughts for you:
1) Consider installing at least 2 circuits (possibly 3) while you're doing it. Put your power amps on one circuit and your preamp and analog system on the other circuit. (Yes, I know you think you should plug everything into your Hydra. But do this first and take the Hydra out of your system for a couple of weeks. Then compare.)
2) Have your electrician make one continuous pull of cable from the breaker box to your outlet. No splices. No other intervening outlets.
3) Get some Walker Audio Extreme-SST contact enhancer and have your electrician apply it (per instructions) to all of the electrical connections as they are wired up, including the breaker in your panel.
4) If you're getting super spiffy audiophile outlets, get the
Synergistic Research Tesla outlets. You can order them individually from
Walker Audio.
.