Broadly speaking, it doesn't matter which you use, they all do more or less the same things and only differ in details.
For what you want to do, podcast editing, recording, and polish, they are all pretty much equally sufficient and capable.
Pretty much all the Mac-based podcasters I know use Logic for podcast editing and output, but it's an Apple product so it's in some ways an solid, easy reliable choice (if you're not into the audio world), it's not expensive and contains everything most people need (unless you want to invest in something like iZotope RX for cleanup - which again, a lot of these people do.)
Podcast recording is more of a random grab bag, depending on need. Some podcasts are literally one or two guys in a room, in which case an audio interface and some software recorder or DAW is all you need. Those requirements get more complex when you start to have multiple people, local and remote, you're recording multiple mics locally, and you're recording from multiple apps, all to separate files and a backup recording of everything, and incorporating double-ended recording when podcast guests are also recording their own ends locally and sending the files afterwards, and you're feeding in audio clips from a sound board app, and/or other sources like YouTube, and whether you're also doing a video feed with switchers etc etc. The complexity rises with more complex needs, as you'd expect.
Personally for recording audio feeds from apps, I've used (and swear by) Audio Hijack and have used it forever, although virtual audio devices such as Soundflower (and Loopback) will also work, at the expense of being more complicated and fiddly to set up, but potentially more powerful if your needs are complex. Loopback is really designed for handling in-computer routing in relation to podcast recording, so should handle a lot of this stuff.
So what DAW do *I* use? I'm not sure why you want to know or why it matters, but if you hang out here and get to know us, you'll have those questions answered...