An RSS feed will "get it out there on different platforms" for you. You won't have to do anything else, except submit that feed to the different aggregators (iTunes being the largest).

I'm glad SoundCloud at least seems to generate a feed, because the content sounds interesting. But if I were forced to use SoundCloud themselves, I would never actually be able to listen to your podcast. I don't want to install another app, and listening through a mobile browser sounds like a nightmare. Emails are also a no go, because this is a solved problem. There are apps and ecosystems already built around subscribing and listening to podcasts. Having yours outside of that ecosystem is a hinderance to adoption.

EDIT: And PocketCasts seems to be rejecting the SoundCloud generated RSS. So I guess I'll have to wait for a real one before I can subscribe.