Is Pit Bull safe to have with children?

I've just got a 5 week old APBT puppy from Wood and Carver bloodline. I have a 22 month old daughter and a husband who has previously owned Pit Bulls and has experience with them. Due to the big controversy that surrounds this breed nowadays, no experience on my side and my angry mother who thinks that I've brought a killer into my house, I am starting to wonder whether I should keep this puppy or maybe rehome it while it's still young. My main concern is my daughter. I plan on giving this dog all my love and attention, socialization, plenty of exercise and quality time, yet I am seriously afraid that it will betray me one day in a horrible way. I've been frightened by the stories about loving and thrustworthy Pit Bulls (family dogs) suddenly turning on their owners and their kids. Am I just being biased or should I follow my insticts and get rid of the dog? My dog should be my life companion, not a potential lethal enemy. And I have a feeling that If we decide to make a 12+ year long commitment to this dog, something bad is bound to happen one day, even if we train it very well. I've had small dogs before, but never any experience with big ones. Please, help me out. Thanks! :(((