you'll need to get a copy of sp_help_revlogin from microsoft; there are different versions, depending on 2000/2005, maybe even for 2008 and above, i don't quite remember.
assuming you are going to do a backup from Prod and Restore on the new server, you should be good with that...object permissions are stored int eh databases themselves, and the procedure above will carry the correct sids along with it, so that makes it fairly seamless.
don't forget all the other things on production, like certificates, linked servers,
and more; theres a current thread on side by side server migration you might want to peek at:
http://www.sqlservercentral.com/Forums/Topic1384265-391-1.aspx
Lowell