From the adTempus perspective this is no different than moving to a different on-premises computer. There is an article detailing the steps for that here. There is no tool for this but it is a pretty simple process to install adTempus and copy data over.
The biggest choice is how to handle the database if you are currently using SQL Server Express. If you are moving to Azure, version 5.1 supports database authentication using Entra, previous versions do not.