Hello,
In general you'll want to take notes/screenshots of critical settings in your Stage and Test environments that wouldn't be applicable in Prod. For example, if you have external accounts pointing to test/stage endpoints then you'll want to capture those configurations prior to the refresh or else they will get wiped out. Another example would be the configurations in the deployment wizard.
Additionally you'll want to make sure that the builds are on the same version or close to the same version to ensure compatibility.
Regards,
Craig