Cleaning Pet Hair Off a Wool Couch?

We bought a royal blue couch at a thrift store, and it seems to be made of wool or some similar fabric. The problem is that I have two dogs and a cat, and the pet hair on that solid color is very noticeable (our previous couch was leather, and I didn't have to do anything to keep dog hair off of it).

I am looking for tips on how to keep this couch looking good. I have tried the the pet hair lint roller thingies, but I go through so many of those sticky sheets per day and still don't seem to get all the hair off. I feel like I need to do something else to get the majority of the pet hair off and then maybe finish off the job with a pet hair/lint roller. I also tried a wet sponge, which was great at getting the pet hair off, but small pieces of the sponge were being left on the couch, which I then had to try to remove. It just seems that there's got to be a better way than what I am doing. Got any suggestions?

By Tina Siegl