Apple's Time Machine is a great utility, but not everybody wants to shell out a bunch of money to use it with Apple's Time Capsule over a network. I am going to be showing you how to back up to any network drive or file server that is connected to your local network.
There are several ways to do this, however in the video below, I show you the way that worked for me. I am running Mac OS X 10.8 Mountain Lion.