My school has a computer lab full of machines running Red Hat Linux. They have it set up so that you can log into any computer in the lab, and it automatically loads your desktop, home directory, etc, which makes it so all computers in the lab look the same to you, regardless or which one you're using.

I have two computer at home running Ubuntu Linux. Could I do this same thing with my computers at home? What's it called, and how do I find documentation on how to set it up? Thanks!