As Nick said, Tamara, these are regular hearing aids. Or hearing instruments, as they like to call themselves.
The BAHA and TransEar, on the other hand, are both devices that capture sound on one side of your head (in a deaf ear), and send it over to the other side, through the bone of the skull. This allows someone who is single side deaf (SSD) to hear sounds from both sides of their head. It is not true stereo hearing, of course, but it does improve their hearing in practical ways.
Nick, you are in a different class from me.
My hearing is down quite a bit more, around -60 db in the upper range. My days of enjoying full spectrum audio are over, I'm afraid.
I am now more focused on hearing conversation speech reasonably well. For that purpose, the Unitron Moxi is proving itself to be quite good.
Jewel, when your audiogram slopes down at high frequencies, it doesn't mean you can't hear them at all, only that your ear is less sensitive in that range. Amplifying the sound allows you to hear it again. If you have damage to the nerve or cochlea, your own ear may introduce distortion of the sound, which is something the hearing aid can't fix for you. You can lose hearing both by nerve damage, and by damage to the cochlea. Both can happen with ANs, because they can reduce the blood supply to the cochlea, causing some of those little hair fibers inside it to die off - or something like that.
Steve