I found this on MSDN:

blogs.msdn.com/.../moving-databases-between-web-ap\
ps.aspx

This looks like it is more to move  content DBs from 1 web app to
another. I am looking to take all databases (config, content,
mysites, admin, shared svcs, etc) from one SQL server  to another but
otherwise keep my farm the same.

I would think this should be relatively common but have been unable
to find any information on the steps to perform it properly.

The process is essentially the same. After you run preparetomove on the
content database, simply back it up, move  it to the other SQL server  and
then re-attach the copy the way the article says.

We are working on a white paper that will describe this process in
depth. I believe that is it slated for one of the next two newsletters.