Pediatrician or family doctor?

Jenna • We had our first baby girl September 21 2015 👑 she's our world! Now we're expecting baby number 2 in Sep!!
I was talking with my mom about how I need to pick a pediatrician when she told me all her kids just went to a family doctor. 
I like both options here why pediatrician obviously deal with infants and children and that's there schooling. I would feel good about what they say. 
I like the idea of a family doctor too this means our kids can stay with one person as along as there working. Therefor they would know my baby's full medical history. 
What are you other moms going with??