The safest course of action is to always uninstall the app before installing it on any other machine, even if it's the same machine with the same OS. In your case, it will be a different OS, but once PD is uninstalled it's automatically available to be installed on another system.
If you have any 3rd party packs that you've purchased separately, especially NewBlueFX, you will need to deactivate each pack from within PD before uninstalling them individually after PD is gone.