First create a new DB in your new cpanel. And populate it correctly.
Be sure when you backup your database to select to not GZ it....If you GZ it, extract it with Winrar/winzip to make sure its working.
*download a database backup from your old server cpanel here*
Tools>>Backup>>Download an SQL Database Backup and clicked on the DB I wanted to save. I then saved it on my local computer.
*On your new server cpanel open cpanel and go to*
Backup>>Restore an SQL Database Backup>>Browse and then found the backup *****.gz file from the previous step and clicked upload.