For a database that small you can use mysql dump to move the data from one machine to the new. Just make sure the old machine will allow a root connection from the new.
Get both machines online at the same time and figure out their IP's, then type this command on the old machine
Code:
mysqldump --opt db_name | mysql --host=remote_host -C db_name
You will probably need to use the --user and --password switches on both servers in the command to log in.
Code:
mysqldump --user --password db_name | mysql --host=remote_host --user --password -C db_name
So, for example
Code:
mysqldump --user=root --password=YeahRightImShowingYouMyPassword testdb | mysql --host=0.0.0.0 --user=root --password=AsAbove -C testdbonnewserver