Why don’t you try both and let us know which is better for you? I mean, it doesn’t cost anything to try them.
I have used AH and they work well for me. I have not used HS but would not hesitate to try them. The reason I chose AH is because they’re only a 20 minute drive from me. I kind of cheated because I got fitted in their office and they also did the first adjustment over the internet - while I was wearing the aids. That was cool. After that, I made several custom programs. Both companies provide excellent service/support. The biggest reason that people use these companies is that you can adjust them yourself without making multiple office visits.
Please note that you’ll have to invest much time in learning the software and experimenting with adjustments. If you’re a hands on type of person, it will be a fun experience. If you’re not, well, that’s what they make audiologists for.