I understand that you can only have one computer syncing songs into your iPod, but is there a way I can have another computer syncing songs into it without having to restore my iPod? Is it possible to have multiple computers syncing songs into my iPod?
you may try this SPAM, it's free, it can replace itunes and help you transfer music from computer to iPod, install it on your new computer, it will not delete your existing files on iPod.
Just manually sync with each computer (i.e. Drag and drop files onto the iPod in iTunes). This way, you will be able to add/delete files from the iPod without it affecting the syncing with the other computer.