AHH! Woo, I got it! Finally

Thanks to
Lee and
DenzoForums for your help!
Just incase anyone else would like to know how I did this....
1. Make sure you're using Cpanel for your current and new host.
2. Go to "Backup" on the Cpanel of your current host.
3. Under
Download a MySQL Database Backup, click the database you want to move.
4. Download it wherever you want on your computer.
5. Go to your NEW SERVER'S (where you're moving the database to) cpanel.
6. Click "Backup"
7. Find
Restore a MySQL Database
8. Browse for the databse you saved, and click "Upload"
9. Done!

Thanks again, guys!