Playing a podcast, whether you already have it downloaded, or are just browsing new ones, is just a click away. How to play a podcast in the Podcasts app
If you're familiar with the iOS Podcasts app, you'll likely be pretty familiar with the interface, but if you're completely new to the app, here's a handy step-by-step guide to get you started! In this app, you'll subscribe to, search for, and manage your podcast library.
With iTunes breaking out into dedicated apps in macOS Catalina, Mac is getting its very own Podcasts app.