I would go with the NEX-F3. Especially for a baby, I think the built-in flash is a big deal … it's just always there if you need it. Those "moments" with a baby can pass in a flash, so don't let the lack of one keep you from catching it.
ISO 25,600 is over rated, so the max of 16,000 on the F3 shouldn't be a limiting factor.
The screen tilting up 180 degrees so you can see it from the front will be great for those quick, informal family portraits.


