Plug your iPod into your computer and open iTunes. On side menu of iTunes you will see an iPod symbol (this is under Devices, the third category down). Click on the iPod symbol and scroll down to the third category, Options. Click on SYNC ONLY CHECKED SONGS AND VIDEOS. Then go to your iTunes library and un-check all of the songs and/or videos that you do not want on your iPod. This will allow you to keep your iTunes music, but it will take it off your iPod.
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you can delete your music library from the advanced options
delete the one on your ipod then (from your library) simply drag it back to your ipod
Plug you iPod into the computor, then you can either: 1) Sync ALL your music from your library onto your iPod (there's a special option for that) or 2) Click and drag certain songs from you library into your iPod. Click on the song, hover over you iPod icon and release.
You go to the library open it then drag whatever you want to your iPod unless you have a iPod touch and it needs to be synced
right click and press delete. :)