Here is something we used on our robot in 2005 is some sort of flexible cable cover that you can get at the following link. It works really well and it keeps your wire together. One suggestion is to measure your wires circumference before you buy it because if you have too much it could get caught in your lift so having the right size or close to the right size is very important. Also this stuff is expandable which makes it great for a tight fit but to cut it, i suggest you use a soldering iron because it frays if you use scissors, but besides that this stuff is the best and very easy to use.
http://www.crazypc.com/products/casemods/cablemng.htm
EDIT: If you do it right and pass the wire through the lift, your end effect will be something of this level. (The higher robot)
If you have any questions feel free to PM me.
Pavan.