We installed our applications on a new server.  

For some applications we want to move the BPT history (applications are not moving all together, so we can't duplicate the database).

Who has experience with the migration of all the BPT tables for one application ?  Tools ?  Scripts ?  ... 

You don't state if you're on-prem or in the cloud. If you're on-prem, you should be able to write up a script to move the necessary data for the new app.