So it this a rental, or just a house that you won't be living in for more than a year or two?
For tidying up cables, get yourself lots of plastic cables ties and some sidecutters, or velcro. You have the perfect setup, just bundle your AV/Speaker cables on one side and your power on another. I wish I wasn't living out of suitcases and typing on my old laptop, or I'd try to draw you a picture.
Let's say you have a rack, starting from the top component 1 on shelf 1, next down, component 2 on shelf 2, 3, 4 and so on. Let's say you want to run all your AV to the right and your power to the left. Take the power cables from component 1 and route them down to shelf 1, take power from comp 2 and route it up to shelf 1. Tie both of those power cables to shelf 1 and run them to the left. Shelf 1 is a power cable shelf.
Take the AV cables from comp 2 and run the down to shelf to, AV cables from comp 3 up to shelf 2, tie and run to the right. Shelf 2 is an AV shelf, shelf 3 is power, shelf 4 is AVR and so on.
The whole goal is to avoid running your av and power together/near each other.
Seriously, somebody help me out and draw a picture. Thanks in advance.