how to move db

[Lad.Gaal]

I'm switching over to a bigger better faster server. My old server is running
version 3.23.22-6 mysql on RH and I need to move all the db's to my new box
using 3.23.41 installed on RH7.2. So do I just simply move all of the db
directories from /var/lib/mysql from one box to the next or are there other
files that I need to copy as well.

Thanks for the assist