Also, there are good recommendations for MySQL GUI Tools on TC wiki pages for your platform. You should already be aware of these, but they can assist you setting up the privileges.
You may have made changes to these earlier, just as you did for your db table names.
If in doubt, you can equip a mysql user with all privileges and only allow it to connect from localhost – of course, this only works when your server is running on the same machine as your core.