I am planning a trip to Germany, beginning next week. Do I understand correctly that if I am fully vaccinated I do not need a COVID test to enter Germany? Also what documentation is accepted to prove vaccination? The piece of paper on which the vaccinations are recorded or something more "official"? I also have a document (and screenshot) from the Virginia department of health showing my vaccination dates which I assume is preferable.
For returning to the US, I understand that I also need a negative COVID test 3 days prior to departure - is that right?