What I do is download podcasts from the iTunes store or listen on Spotify.Ooh thank you, that's all very interesting. I've never really managed the podcast thing but I'll give it a go.
This is probably going to sound ridiculous but what's the best way to access them (as in podcasts in general?). Do you download apps? Or go to a specific www address or is it done via the TV? I did see a Killing Eve one but it was televised (whilst they were recording I think) so it still left me non the wiser.
You can see clips on Youtube/Instagram sometimes, or even whole filmed podcast shows.
The true crime ones such as All Killa No Filla or You Must Remember This are great, as is Off Menu with James Acaster and Ed Gamble... and there are hundreds of them so you'll find one you like!