I know an easy way to do it. If you “show hidden files”, you can see all of the songs on the iPod. The problem here is that they all have messed up names, its their form of “encrypting” the files so that people dont do this. Drag all of these songs onto your new computer. Then, install iTunes on that computer, and drag all of those “encrypted” songs into your playlist. From there, iTunes will rename all of the files, and you’ll have your music back, good as new!
–mark