As of yet, there is no automated way of moving emails. Therefore, you'll need to migrate them manually, using the steps below:

1. Open up your email client and create a local folder
2. Drag and drop all of the emails that you intend to keep into this folder
3. Log in to your Tsohost Cloud control panel, and create your new email address there (for more tips on doing this, check out this article)
4. Once these are set up, you need to add the newly created email address into your email client.
5. Finally, drag and drop the emails from the local folder to your new Tsohost email address. This way, all your emails will be stored safely in the one inbox.