I paid right at a thousand and that was for essentially a rebuild kit and new gears. I have never worked on a rear end but know a little about them. I got it done at the dealership and about two days into it they called me and told me it couldn't be fixed. What do you mean it can't be fixed? They claimed the housing was trash because they couldn't get the pinion crush sleeve to crush. I had talked to a long time GM mechanic and he said ********, tell them to get the biggest damn ratchet they have and then put the biggest cheater bar on it and tighten it. Called me back that afternoon to tell me it was ready. The whine you say goes away when you let off the gas leads me to believe it is pinion based. I think a DIY could do it, but it likely involves some tools most don't have. I tend to stay away from transmissions, rearends, and bodywork.