You can add, repair, analyse, drop databases and add and delete users from the MySQL page in your control panel. You can also manage the remote access listing as well as gain access to phpMyAdmin to manage the databases and tables themselves.
phpMyAdmin is a tool written in PHP intended to handle the administration of MySQL over the Web. Currently it can create and drop databases, create/drop/alter tables, delete/edit/add fields, execute any SQL statement, manage keys on fields, manage privileges,export data into various formats.
You can find out more about phpMyAdmin on their website.