Downcast
Downcast is a pretty great app if you don’t just listen to your podcasts on your iPhone. Besides being able to start listening on one device, you can also sync all your subscriptions, playlists, and settings with iCloud, making it easier to download the app and start using it once you’ve set it up.
You also get a ton of features for your subscriptions and for when you’re listening to your favorite podcasts. For instance, you can turn on auto download so Downcast downloads new episodes automatically or create smart playlists, so the app can automatically select what it thinks you’re going to love listening to.
The app also comes with different playback speeds, a sleep timer, and CarPlay support to listen to any podcast on the road.