Moving users and their home dirs to new server

[James Pifer]

I'm building a new server to take the place of another, which has a few
user accounts, mostly for mail. For most of the box and it's services
I'm just re-setting up the new services, like DNS and DHCP. What's the
easiest way to move the users and their home directories so I don't have
to recreate them, they're passwords stay the same, etc? Is it as easy as
copying the files (while retaining permissions) and then copying the
relevant parts of /etc/passwd?

Thanks,
James