Until you need some other computer to be able to access your MySQL database, you should make sure that no one outside your computer can access it. Make sure that your firewall is turned on, and make sure that it is not allowing entry by port 3306. On Mac OS X, this is easy: go to your System Preferences, into the Security preference, start the firewall on the firewall tab, and make sure that the access list does not contain 3306 or MySQL.