Get a flyer like a Pteranodon or an Argentavis and fly close to the Deinonychus guarding the eggs so that they start running towards you (try not to get hit). Lure them off a cliff or just a few meters away. Fly back to the nests (make sure they don't follow you back), get all the eggs.

Usually if they're a few meters away they will either not notice you stealing eggs or they won't be fast enough to get to you. You don't need to get a bait or anything like that.