Neil,
In my opinion, the first thing one needs to do after buying the EMM Labs combo is to find a great power cord and conditioner. The stock Kimbers are better than a regular PC cord but simply not good enough.
I had fantastic results with PS Audio P300 and the Elrod Power Systems power cords, first I used the EPS 2 Signatures and later the Statement II. Even the EPS 2 Sig brought a dramatic improvement in all areas but the Statements are the ultimate IMO. (of course there are other great cords out there and I tried at least a dozen myself but in my system these were the best).
A friend used Shunyata Anacondas with Hydra but I found the sound too dark with the Shunyata cables and artificially "sweet" with the Hydra. The EMM Labs combo is very neutral and this neutrality was somewhat lost with the Hydra, while the sound did not get worse of course, just there was a coloration of sound that I did not like.
As you already have a good power conditioner, the P600, it is a great start, I suggest that you should try the Elrods and some other high end power cords, this combo really deserves them.
Happy listening!