At that age, home is the best thing. 


We did our daughters 1st and 2nd bday at home and I can tell you, even just having a few close friends n family around it was still incredibly overwhelming for her.  


I cant imagine doing it at KFC or any of those others until she is 3 +.... the sights, sounds, colours, too many people, all of the attention can be very scary for a baby - its far too much stimulation for them to take in.


Good luck and hope you enjoy her birthday.  It is once in a lifetime so take some lovely pictures of her.