bc25 I figure I would export the DB and then bring it back up. That possible?
Yes.
Presuming that you run your DB and web server on the same server:
export the database.
grab your files.
Put the files in place on the new web server.
import the DB into the new DB server.
Create your DB user.
Grant it privileges to the newly imported DB.
note: If you changed the DB name, or DB Username / Password then you will also have to edit the /include/ost-config.php to make it match the new credentials.
bc25 In lieu of that, I was also wondering if I could maybe move he DB to another partition with more space and then I might not have to migrate.
This would be controlled by your DB server service.
Shut down the DB server service.
You would move the DATA directory contents to another partition.
Edit the DB config file to point to the new location.
Turn the DB server service back on.