Wire the House A/C or get Power Conditioner?

You should do BOTH if you have the money. If you have budget for only one project, get a GOOD power conditioner FIRST, like the PS Audio's Duet and Quintet.

Mind you that you need quality power cords from the power conditioner to your components, otherwise, it is a waste of your money.

I agree that you should do both. Be sure to use top quality AC receptacles that grip your power plugs tightly. Regarding the power conditioning issue, you might consider the PS Audio Premier Power Plant now being sold at $500.00 off list price. Why condition, when you can regenerate clean AC??

Sorry, I will give you just the opposite advice. Always start by first running dedicated AC lines in a single home run pull from your circuit panel to each receptacle. Keep the cables as close to the same lengths as possible. Upgrade each receptacle to a high quality all brass/copper alloy, non-plated, 20 amp receptacle like Hubbell 5362 or 8300, Portport (a cryo'd Hubbell), or Synergistic Research TeslaPlex (best, most expensive).

Only once you have good AC coming to your equipment is it worth experimenting with power conditioners.
.