I have a question. I recently downloaded LimeWire, and the music that is downloaded automatically goes to LimeWire downloads section in my iTunes.
This is problematic because you cannot move or copy these files,
And I really want to be able to transfer them to my iPod. Does anyone know how I can do this?

When a song finishes downloading click on the file name once and then click the big button that says explore. A LimeWire shared music folder should come up with everything you've ever downloaded. Right click on the song file, then go up to "Open With" and select iTunes. It should add the song to your music library.

The "your LimeWire Tunes" is just a playlist, so you won't be able to add those playlist files to the library. You have to add the music files themselves. For more info check out the sticky below
Transferring music to iPod & iTunes