Dump My D-Bag Bf?? Or should I keep him?

Im not going into detail, Im not trying to wright a book. So here's the cheese, my boyfriend is just a charmer at heart. He is just naturally a flirty girl-charmer at heart! but since im the new girlfriend, I get pissed off at all the flirty stuff he does... And when he first met me, i came off as a shy person but on the inside, I wanna rip his soul out and eat it for breakfast.....So idk what to do, because you cant change a guy. Do i break it off now?? Or should I say to stop adding s on facebook?...Not really sure but .. He's hot..so id hate to let em' go..