It depends on what you want to do.
Are you going from a Mac to a PC 😱 or PC to PC?
If you're going from a Mac to PC, you need to backup all your music and put it on the new computer.
PC to PC should be fine, but you won't get your music off the iPod. Again, you'll need to back up the music from the previous computer and put it on the new one.
Either way, it won't break the iPod to switch. You'll just need to reformat it so it'll sync with the new computer.