[Apple iPod] Can one computer 'host' two iPods? (4gb Nano & 80gb classic)

I have an 80gb Classic, hosted by a laptop, with
Itunes, everything is working well. Then I added a
new 4gb nano, which the itunes software upgraded to
the current software.

I've tried to add some Movies and MP3's, that I
have already added to the 80gb classic, but when I
try to "open file" when the nano is connected, they
never show up on the table for the media.

I'm wondering if the problem is that itunes won't let
me host more than one iPod on the same computer.

I haven't the fortitude to re-attach the original 80gb
classic back to the computer, fearing that I may lose
all the programming that's on it.

Please help.

Thanks.

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