The solution proposed by tempest is nice. But even if you are against it, Patrick, why not use the guest additions shared folders once for that purpose?
Just mount the share in the old Workstation. Copy the important files in ‘/media/share/’ or wherever it is mounted. The files for me: the AppArmor profiles, the Tor browser directory, so I did not have to reinstall it and i get my bookmarks, ‘/home/user/.icedove’ for my email accounts and ‘/home/user/.gnugpg’ for my keys. There will probably be more to come.
Close the old Workstation, start the new one, mount the share and get back all the files you have put in there.