so this may be going a bit far afield for a forum post, apologies if that's the case!
There are two ways to address electrical noise problems in a studio setting - you can deal with it at the source, or at the destination<G>. Noise is a given, and it is only going to get worse!
Noise is not, however, the problem... noise entering audio circuits is the problem!
I would never EVER suggest that you should not start with the quietest possible power system... that's just plain common sense. Less noise means it is easier to suppress it!
BUT, not everyone can start with a clean power and grounding system, so it is important to understand how noise gets in. And how you can mitigate it.
The first problem is single-ended interfaces. I don't want to sound like a snob, but single-ended inputs are a huge problem waiting to happen. Single-ended outputs pose less of a problem, but ANY TIME you share one conductor for signal return and shield you are starting out at a disadvantage.
Sadly, many manufacturers have forgotten the lessons of the past, and connect the shield in a balanced input to the circuit board. This is referred to as the "Pin-1 Problem", and it has been covered in great detail since 1995. If you search for "Pin-1 Problem", and Bill Whitlock or Neil Muncy or Jim Brown you'll find lots of material. The short version is that the shield should always be connected to the enclosure, and never to the circuit board.
Back in the 1990s I rebuilt an old analog console. One of the things I did was install a large copper buss bar, and I connected ALL the shields to that buss bar. At the time I assumed that the buss bar was responsible for the remarkable improvement in S/N ratio. Now I'm not so sure, I think it probably had more to do with removing the shields from the motherboard. One of these days I will test this hypothesis and report back.
What all of this points out is that a balanced interface is ideal, and that proper interconnection between a balanced source and a balanced input, including keeping the shield outside of the enclosures, and using cable with a braided or Reussen shield instead of a foil shield, and no drain wire, and a tight, uniform twist. All of these things matter.
If you don't have balanced outputs then you can get the same noise suppression by wiring the connection as it it were balanced. There are lots of how-to documents, I recommend Rane App Note #110. Bill Whitlock has also written about how a single-ended source need not degrade performance of a differential input.
If you are dealing with single-ended inputs there is little you can do, other than balancing them. You can use transformers (use an input transformer, there is a difference) or you can build a transformerles input, the easiest way is to use the THAT InGenius(tm) chips. It isn't as expensive as it sounds if you only have a couple of inputs.
And putting to rest a myth that just won't go away... cable shields do next to nothing for typical noise problems. Twisted pairs and differential inputs do most of the heavy lifting. Shielding is only effective at radio frequencies, at power line frequencies the twist is the magic.
Speaking of which, if you are installing new power circuits consider using twisted wire from panel to outlet. It is available, it isn't horribly expensive, and it meets code. There is even a version that is shielded, and if you do have a lot of RF hash on your power lines it is quite effective.
That's probably enough general stuff for now... feel free to ask questions!
In the meantime for Jay Tee - for your equipment that is on the old power circuits...
Can you confirm that this gear is the only gear that is acting up, and if so does it act up when connected to gear on the new power, or stand-alone, or both? There are a number of potentially (pun unavoidable) inexpensive solutions that might help.