If you wish to move your email data between different email servers, you can use IMAP SYNC tool 

Please Note: This is only Free for mailboxes that don't exceed more than 3Gigs 

Here is the link that you will need to use for the migration - IMAP SYNC TOOL

Step 1On the left, Add your full email address, password, and IMAP server name of the email address that you want to move from 

Step 2. On the right, enter your details for the destination email 


Step 3. Click on the SYNC button and wait for the synchronization to complete 

                          Please Check your destination email if it synchronized the emails