iTunes to new computer question

I have searched this and found a method, but wanted to see if there is an easier way. We have a new Mac and want to transfer iTunes, including playlists to our new Mac from the old. We are connected to a home network, so easy to see the old computer (or new) on the other. However, trying to not just copy the music, but also have the playlists move. Is there an easy way to do this? Thanks.

 

Thanks. I saw this article, but it seemed a bit complicated for copying the playlists also. Was hoping there was a way to just copy from one computer to the other a file or 2 and then it would have a mirror image on the new one that would include all of the music and all of the playlists?

 

Why do I need an external drive? Can I copy the iTunes from the old Mac to the new Mac if they are both on the same network? If not, not a biggie, we will use an external HD.