Thank you tgreer 
I’ve read through those articles and googled some more and I think I understand the principles behind it.
The “Move to Org” should really be called something like “Share with Org” instead. Right?
Perhaps this should be posted in suggestions I guess.
Really the thing I’m trying to solve:
All my shared passwords are still mine even though they are shared with / moved to the Org. Is there a way to move those passwords to the Orgs vault instead like they were created there originally with the Org as the owner?