I have quite a few of the AHH Bras, and have been happy with them. I use these as lounge bras, or under pjs when I have guests. I most often double them up for my power walks. I'm small busted, so this works for me. However, I wouldn't recommend it for this purpose for anyone larger than a B cup.
On the other hand, I purchased some Genie Bras for my mom last Christmas, and she really likes them. Which is saying a lot because she doesn't even own a regular bra - she's just been wearing tight camis for most of her life.
After looking at them closely side by side, I don't really see much of a difference between the AHH and Genie bras. I would purchase either of them again. 