I had to replace my iPod battey recently and went to Batteries Plus, they replaced it for me very quickly.
Here is a link to their website:
http://www.batteriesplus.com
They have a lot of stores nationwide, there might be one near where you live.
They also got videos online that teaches you how to do it yourself, for example this video:
http://www.youtube.com/watch?v=n_v32xLH8