The easiest way to get introduced to podcasts is probably to use either the music app on your phone or to download Apple's podcasts app. That being said, I love Downcast, but I've been listening to podcasts for about 5 years now.
I know you can find some older episodes on itunes, or download them directly from the podcasts page of this site.
But, to make it easier on you, open up Downcast and follow these instructions:
(1)in the "Podcasts" screen (the main screen), click on The DIS Unplugged.
(2) scroll down the list of episodes until you see "View other available episodes" at the bottom of the list. Click on that.
(3)You can then scroll through the old episodes and select which ones to download or stream.
BTW, you may have to go into the settings and adjust some things to make sure some episodes don't get auto-deleted on the next refresh. One of the great things about Downcast is how customizable it is. That, however, can make it complicated as well. I highly advise you go to
its support page and read through the articles, especially the ones on the settings.