You can simply follow below steps:
- Login to cpanel.
- Click on "Backup Wizard" under "Files" section.
- Here you have to click on "Full backup" to take complete backup of your account.
- Now to remotely transfer data from one cpanel account to another account you have to choose "Remote FTP server" from "Backup Destination" drop-down.
- You have to enter all the details of your server like "Remote Server, Remote User, Remote password, port and Remote Dir.
- You have to enter all your destination server details and click on "Generate backup".
- Now you will get the the zip file on your destination server's cpanel.
- From all above steps you can get easily transfer data and then restore it in WHM transfer tool.