from a pc how to download playlists from itunes to ipod

See Sync your iPhone, iPad, or iPod using your computer - Apple Support. You should be able to chose which lists are synced.

tt2

Just to be clear about a specific point in turingtest2's post; each device has its own Sync setup. You have to set Sync options for the iPod, even if you want them to be exactly the same as the iPhone.

The article turingtest2 linked to will help you.

(Hope you don't mind tt2. Regards, Phil)