I have come across an interesting tool from Adobe. It's called Adobe Podcast and it's currently in Beta.
Adobe say that "Enhance Speech increases clarity by removing background noise and sharpening your voice’s frequencies. It makes it sound as if everything was recorded in a professional studio."
PiXimperfect has a video about it. The video is called "Adobe AI: Make trash audio sound like studio recording!" (https://youtu.be/cWdOsO92gCY). My initial feeling is that this tool could potentially be a real revolution for the home studio. I suspect that it will have some limitations but I think it's worth giving it a try.
I haven't tried it yet. However, I definitely plan to.
At the moment the tool seems to be free. I wonder how much Adobe will eventually charge for it.