How do I assign a new computer to an existing iTunes Library on an external drive?

I have my iTunes library set up on an old computer (the actual music/media library is on an external HD) and now I want to point a new computer to that same library so I can basically use it as my media server via home sharing. I set up the correct Library path on my. ew computer, pointing it to the folder on my external drive, but I want to be able to also import all the old library settings, playlists, etc. Is it just a matter of copying a couple Library database files from my old computer to my new one?

Thanks,

todd