Currently Being ModeratedJul 4, 2012 5:46 AM (in response to Smithe84)
You can't do an iPod to computer transfer of song files using iTunes (except for songs purchased from the iTunes Store). However, there are third-party methods and utilities that can do an iPod to computer transfer. If you do a Google search on something like "ipod transfer," you should get some links.
Once the song files are on your new computer, add them to that computer's iTunes library. You can then sync your iPod nano to that computer's iTunes library.