Since version 3.6 AMPZ provides functionality to Export the configuration of AMPZ in order to Import it on another website (or save it somewhere in case something happens with your database).
In order to Export the configuration go to Components -> AMPZ Social Sharing. On the Dashboard you will notice the Export and Import pane all the way in the bottom:
It is fairly trivial to use this feature. Please note that Importing another configuration OVERWRITES the existing configuration of AMPZ on that website!
If you are having questions about this feature please get in touch.