The database Settings page can be seen by clicking Settings in the secondary sidebar on the Database page.

Database settings in MyKinsta.
Database settings in MyKinsta.

The Basic details section shows you the display name and resources available for your database. To change your database’s display name or increase its size, click Edit details, make your changes, and click the Edit details button in the modal/pop-up.

Change the database name or size in the Database details in MyKinsta.
Change the database name or size in the Database details in MyKinsta.

The Delete database button allows you to remove the database. If you delete the database, all of the data in the database is destroyed.