Podcasts on the iTunes App Store
Apple just released a new app for podcasts called… Podcasts. It allows subscribing, downloading and streaming of podcasts available in the iTunes Store. To sync podcasts between devices however, you will need to subscribe to them using iTunes on your computer, which is very sad.
I will continue to use Downcast for now, which features syncing of podcasts, settings and subscriptions using iCloud directly, which means there are no dependencies on iTunes.