I haven't tested this on different server versions.  In this instance, I moved DHCP from a Windows 2003 Server to another Windows 2003 Server.

I've seen at least one other method which involved some command line activity but this method seems simple enough.

On both the source and the destination server, launch the DHCP Manager, right click on the server name, select:

Have you ever noticed those odd folders under Active Directory DNS such as:

_msdcs
_sites
_tcp
_udp

Those are important -- don't delete them!

For whatever reason, you might find yourself in a situation where you need to disable IPv6.  For me, it was to troubleshoot a problem being caused by IPv6 being enabled.  Pretty simple solution provided by Microsoft:

http://support.microsoft.com/kb/929852