Most of the Microsoft Exchange technical notes do a great job of explaining how to move a recipient's mailbox from one database to another. But there is little to be found about moving the recipient resources to different database. The short answer is that it is the same process.
So you don't have to go looking for the details, here are the steps to follow.
One of the most common questions we get regarding mobile devices is how to setup an Apple iPhone with access to a corporate Microsoft Exchange mail system. This doesn't have to be a local system, it could be a hosted cloud Exchange server as well. Many people often will use a POP connection but this really doesn't allow the mobile device to exploit the full capabilities of the Microsoft Exchange services such as synchronizing contacts and calendars. So, get the full benefit of Microsoft Exchange by using the Exchange mail connector on the mobile device.
There are a couple of pre-configuration steps that you may want to take, especially if you have moved your Exchange service to a different hosting provider.