First I will answer you, Laurie Perry.
You can upload tables easily with the web interface called "phpmyadmin" available in the Control Panel.
It should be fairly straightforward, as you have done it before.
vino_ny:
You can connect to your database from home, through the mysql software
You can use phpmyadmin from the Control Panel, which is the easiest option really.
What kind of links were you wanting? I don't have any relevant links for you. You could search
www.google.com for mysql upload table
You could run your own mysql server as a mirror. You would have to export your database at home, then import it using phpmyadmin at lunarpages.
It doesn't work like ftp.
You can backup your whole database, to download it, using phpmyadmin or the backup tool in CPanel.
It is not necessary for you to have mySQL at home, unless you need it, obviously!
I would really recommend that you don't run it at home, because moving databases is a real pain!