Peachtree park is a more exclusive hood being that there are roughly +/- 500 homes there. The commute from here may be 5 minutes better if going up GA 400. This area is closer to Lenox mall and many other stores and retail.
Both Buckhead hoods would do fine if you could afford them.
But, Peachtree Hills is more suitable for a family in my view. I actually live in a condo building sort of connected/adjacent to Peachtree Hills and can see that family atmosphere and use the parks often.
But really safe and retail is all over for both hoods. I just like Ptree Hills better because I am biased and somewhat vested there. Although traffic is everywhere in Buckhead, Ptree park area has more.