Thanks for the help. Yes, we're aware of the ArcMap services, and are staying at 10.9.1 during the migration. I figured it was best to not upgrade versions in the middle of the lift-and-shift to Azure.
How about we deploy an Azure VM for PostgreSQL, replicating our on-premise environment. We can deploy it as newdb.ourdoamin.com, migrate the db's, then, when we edit the external DNS record to point traffic to Azure, disjoin currentdb.ourdomain.com from AD, then rename the Azure equivalent?
We can then casually start using Azure hosted PostGresql, and eventually re-publish all services pointing to the hosted instance and shut down the Azure PostgreSQL VM.