To migrate a playlist within a program to another playlist within a program, you can take these steps:
1) Create a blank playlist in the new program to import into (just needs placeholder name and category because this will be updated)
2) Import into that playlist using the RSS feed. There's an RSS importer for the playlist at this dropdown here:
3) Make sure the 'update playlist details from podcast' checkbox is ticked.
4) Once the import is complete, you can take the re-direct steps which are outlined in this help doc.
One other consideration is that if you have ads running from the ad-server currently then you'll need to switch them off for the program so that they're not imported with the audio. You can do that here: