Think about two kinds of hosting:

Media hosting for your mp3 (or whatever) files: I use both Libsyn and Blubrry for different shows. Both perform well and provide top-notch support, in my experience. I've used the free Archive.org, which is a bit slow.

Website (blog) hosting: One podcast is on Hostgator and one is on Bluehost. Both are good and running Wordpress installations. I've done a third on Squarespace, which is a great concept, but not particularly podcast-friendly.

Personally, I recommend using Wordpress for your podcast home, if for no other reason than the support ecosystem is giant. Since you are talking about 3 different podcasts, that tells me you are serious so I'd go with a dedicated media service like Libsyn or Blubrry.