These are just my opinion..
But I'd go with the Touch for your dd, if that's what she wants.
The IPad is wonderful, but expensive... the Kindle Fire is great price, but not sure how limited it's going to be.. and has no camera, no memory expandability for being a tablet.
I was debating the Fire or the Touch for older dd, and decided I'm getting her the new Touch that just was announced Tuesday... so have to wait another week to buy it.
Reasons: Portability, camera/video camera (which I'm sure she's going to love), price, cheap apps, and I already have a Touch, so lot of the apps I've bought (that she plays) will transfer over for her.