using ipod on two different computers

Welcome and setting the iPod on 'manually manage songs and playlists' will allow you to do this without losing any of your songs on the iPod. You can then drag n drop the songs onto the iPod from both computers.

Just don't switch back to auto sync because you will lose the library. You can use (http://wbyoung.ambitiouslemon.com/senuti) to transfer the songs from the iPod to your home computer.