Is most of it on your iTunes still? If so, the best idea would be to first get the music from others' computers onto your iTunes, and then you can dock either iPod and sync easily with iTunes.
To transfer the others' songs from your old iPod to iTunes, download Yamipod and follow these instructions:
Key functions:
1.It can backup your iPod files to computer and tranfer music/video/photos from local files to iPod without iTunes.
2.It can transfer your iPod files to iTunes and another iPod.
3.It can manage your iPod as a hard disc.