Question: how to transfer emails from one service provider to another?
Answer: Step 1 - Setup your email accounts on the new server. First purchase a new hosting account from another provider. ... 
Step 2 - Setup your email accounts in Outlook. Now, you need to setup two IMAP accounts in outlook. ... 
Step 3 - Move Emails folder by folder. ... 
Step 4 - Repeat the process after 4 days.