This is usually standard
Save the subscriptions list and status of episodes, to be used in case the app has to be reinstalled. I've had to reinstall PA a couple times and each time had to rebuild the list manually. Last time I took screen shots of the list prior to reinstalling. It was the only thing I could do short of writing them all down. I hope I'm wrong and this function already exists. If so please tell me how to do it. Thanks
You can already do that.
Go into Settings/Backup, do a full backup, use the share button to save the file in the cloud or to send it via email, then you will be able to restore everything on the new device