I don't see the problem. Once you have installed the application manager on your new computer and have given user name and now, you simply can install 365 on the new machine. And take the video work from there. You even don't have to uninstall 365 on the old computer as long as you don't use the software at the same time. (I would uninstall it and any others before you sell the old machine though).
But before you do that, look at the various locations in documents on the old to see whether there is stuff you do want to move to your new computer, like project files and customized titles etc.