camera for my daughter
I've owned the Sony and Nikon models you mentioned. I had an earlier Canon travelzoom model.
I was disappointed by the red rendition on the Sony and it missed focus more than I expected when shooting with flash. If you don't mind the colors it is a really nice camera. Probably the best of the bunch.
The Nikon to me has more accurate colors and it misses focus less often than the Sony but does miss focus.
The Canon has terminal CA. If you don't mind the CA it is a great choice. It is my favorite and I would recommend it to you but, I would still recommend the Sony for your daughter.
For the money any of them is a lot of camera.