How to use the New App for Podcasts which allows you to download and stream episodes:
Using your iPhone, iPad or Ipod Touch go to the App store and search for “Podcasts”. Choose Apple Podcasts, it should be the first one on the list.
Install the free Apple Podcast app
Open the Apple Podcast app and click on the catalog tab:
Now click on the search feature to search for any of our shows, for example search for HORSES IN THE MORNING and you will see them listed. Click on the show you desire and then click on the subscription button. This will add the show to your podcast catalog.
There are some terrific tutorials on how to use all the features of this Podcast app provided by Apple, here are a couple:
A terrific YouTube video by TechJunkie: