Setting up an internal network DNS server

[NOSPAM]

Hello,
I'd like to use my Linux box as a BIND server for my internal network.
I'd like for users to be able to to access, say, server1 instead of
192.168.1.22 . I've searched through a ton of DNS documents but I
can't
find out how to do this specifically, all the docs I've found are
focused on setting up servers for the rest of the world or for a
network that already has a FQDN (which I do not). Could you give
me some pointers on how to do this?
Thanks,
Harold