It sounds like you've done a good job so far. I found the following information about using an iPod to transfer your music library:
Switch the iPod back to automatic update
To set up your iPod to be updated with all your music from iTunes on your new computer:
- Open iTunes.
- Select iPod on the left side of the iTunes window and click the Music tab in the iPod Settings.
- Click the “Sync music” option, and the “All songs and playlists” option. An alert message appears: "Are you sure you want to enable automatic updating? All existing songs and playlist on the iPod "ipod name" will be replaced with songs and playlists from the iTunes music library."
Optional: Uncheck the Enable disk use checkbox in the Summary tab if you don't want to use the iPod as a disk. If you leave this option checked you need to eject your iPod from iTunes before you disconnect the iPod from your computer.
- Click Apply.