It's called Terminator 3 A New Life, by Fictionstv. It is based on Terminator: Sarah Connor Chronicles, and quickly follows its own path. From the destruction of Skynet base, and escape of Skynet as a TX, to present storyline, it is a journey from awesome to awesomer. If there are any Terminator fans here, I'd like to see your responses.

Here it is: http://www.fanfiction.net/s/4045203/2/Terminator-3-A-New-Life