Here is my mostly in-experienced view on the topic.
If you want the best sound quality for ~$2K get an Athem AVR. On AC, WGH has posted his experience with the sound quality improvements gained by going from a well respected Outlaw setup to an Anthem setup.
AVRs appear to be largely a features and functions driven market. Go up in price and you get more channels, more sophisticated room correction, preamp outputs, dual subwoofer outputs, etc. You get a bit more power too if you want significantly more power, get an AVR with pre-outs and drive your primary channels, (L, C, R) with a separate power amplifier.
A subwoofer is a must. RSL makes highly regarded ones starting at $340.
I would look at the Denon X1800H at $799 list. This model has pre-outs for L/R and should serve you well now and in the future when you upgrade your speakers.
Detailed discussion on AVRs can be found at home theater discussions forums like AVSForum and Audioholics. Audio Science Review does a great job with AVR measurements.