lkbryant,
Your request may be too simplistic and my try at a response, below, may be too simplistic as well.
Here's my try:
1) create the nameserver on a new physical server.
2) copy over the /etc/named.conf file to the new server.
3) copy the /var/named/*.db files to the new server.
4) change the IP#(s) as required in both the named.conf file and the *.db files as/if required.
5) increment the serial number in each of the .db files by one.
6) restart BIND.
Jeff