You can manage your database within your cPanel account, please follow these steps to create a new database:
1) In cPanel under Databases select "MySQL® Database Wizard"
2) Select a suitable database name and click on "Next Step"
3) Select a suitable database username and a strong password, click on "Create User"
4) Select the required privileges (default is All Privileges) and select "Next Step"
You can also manage your database and database users within cPanel -> MySQL® Databases.
Once your database has been created you can manage the tables and data from cPanel -> Databases -> phpMyAdmin.
phpMyAdmin is used to manipulate the data stored within your database.
It supports a wide range of operations including managing databases, tables, columns, relations, indexes, users and permissions
It also has the ability to directly execute any SQL statement.