Hybrid licensed on premise Exchange 2013 and removal of 2010 Std Exchange server

Earlier this year we moved all our mailboxes to Office365. We also now direct all incoming and outgoing email straight to the Office365 servers. Even on premise we use an SMTP relay in a Windows 2012 server to pass emails from various network devices to 365. We use DirSync on one of our servers to sync AD changes to 365. We were considering removing our on premise Exchange 2010 but we have read several articles advising against it. I did read that Microsoft offers a free Hybrid license for an on premise Exchange server that provides the functionality we would need to make mailbox related changes in AD with more ease than ADSI Edit, which is what others say you will have to resort to if you remove the last (for us only) Exchange server.

So, to my question . . . we want to deploy a new VM with Exchange 2013 (Hybrid license only) so we can perform some of
the management more easily and decommission the 2010 server. After deploying the 2013 server, what do we need to
move from the 2010 server over to the 2013 server so as to retain any configurations needed? Will a proper deployment
of the 2013 server and the correct decommissioning of the 2010 server produce the right outcome automatically? I would
like step-by-step instructions for this process if they are to be found.

Thanks for your assistance,
Kevin