Step1: Login to your cPanel

Step 2: Click on the “File Manager”

Step 3: It will prompt with a pop-up menu ask for directory.

Step 4: Just go to your website files are stored and check the “Web Root” and press “Go.”

Step 5: “Show Hidden Files” box is checked

Step 6: then click on compress (selesct zip option) to cmpress the file.

Step 7: Once Copmpress done then click on download option

step 8: After that go to backup wizard and selest your database to take backup of database

Step 9: Go to new Cpanel Interface

Step 10 : go to Backup Wizard

Step 11 : Just click on restore option

Step 12: Click on MsSQLDatabase

Step 13: Choose the database compress file and upload it

And  for more information

Please see the below mentioned video to move the website to new host with cpanel:

http://www.stradsolutions.com/linux-vps.php