elizabeth,
Just leave your MAMP at your computer. It is localhost on your computer.
The MAMP and its database are for WordPress installation on our computer.
For your Bluehost hosting,
1. First create a new database (with database name, user name & password) by using CPanel or PHPMYADMIN via bluehost administration panel.
2. Then change wp-config.php with your new database name, new username, new password generated via Bluehost administration panel. Hostname may be localhost.