Getting your podcast into the various directories is an essential part of people finding and growing your audience. You'll just need hosting and an RSS feed for your podcast. Once you have the RSS feed URL, copy it and submit it to the various podcast directories for review and approval.

Simplecast makes it really easy. Just visit this link: https://help.simplecast.com/en/articles/2698480-how-to-publish-your-podcast-on-the-popular-podcast-apps