Tame them by getting their eggs. Use a whip while you're grappled to a flyer. They need five fireplaces to hatch. It doesn't take that long for them to grow, but to hatch them it's thirty minutes. They can be found easily on the white cliffs along with their eggs. I don't care if you like this or not I just wanna give tips.
I had managed to snatch an egg that had level 140 parents had was excited to hatch my first Deinonychus and took it back to my house and then put down a bunch of standing torches to warm the egg. I went to drop the egg in the middle of the torches and looked and saw the egg had not been dropped. Then I heard a heart dropping munching sound and realized that I had eaten the egg! Moral of the story: make sure you press Left trigger and not Right trigger on console when dropping eggs you plan to hatch!