Printers and profiles

I am having a problem setting up multiple printers in my LAN.
Basically, I have a generic (domain) user and multiple printers. I
set up all the printers logged on as a local admin. When I log on as
the generic user (a domain user), the printers aren't there and I have
to re-install them. I am assuming this has something to do with the
profile, but not sure if there's a local setting or something.
Another thing that might help you solve my problem... If I don't
install a printer as the local adim and try to install it as the
generic user (I didn't set domain users as a local admin) it says
there's a policy that prohibits it. As long as I install it as a
local admin, log off, log on as as a domain user it will only then
allow me-same environment. Basically, I think I'm trying to implement
a defaul user profile that has printers installed on it. Is this
possible?