Since this is your first time moving.
And your board is fairly small.
I would suggest just moving the version you have then upgrade later.
Just to take the extra steps out for now.
If your old site has cpanel. It should have a backup tool that you can elect for just the database.
It will make one file not 65 to deal with.
On the new site use the backup tool and select restore database.
You will still need to add the main user and password.
if the old site only has phpmyadmin you can use the export option and select all tables and use the tar/zip option. Then you can still use that as one file to restore at the new site.
Been a while since I looked at phpmyadmin.
The forum software files you just copy them over to the new site.
Then edit the config.inc.php file to correct the database name and user and password.
The top few lines.
There are also some paths/urls several lines down you need to check also.
Such as sessions path.
The rest you can correct in the ubb control panel.
