[X]Birds. The Dodo is rather famous and experience with avian cloning can only help with dinosaur cloning.
I think I good way to contain the larger dinosaurs is solid fences, stuff with reinforced concrete bases and thick steel bars, and dry moats to keep the animals away from the fence. The latter is dirt cheap, make it with concrete so it holds up, and done. Just make it wide enough so the animal can't grab or stab anyone on the other side of the fence. Sinking the enclosure down a bit too helps but that's a bit costly for the large pens in Jurassic Park. Moats work fine enough.
Around the primary fences should be smaller waist high-ish secondary fences to keep guests away from the big fences too, though those should be less necessary for pens with the dry moats. I've seen a few zoos do that to keep people away to prevent an animal from grabbing a guest through the bars. It's pretty solid.
I think we can make Jurassic Park pretty safe even when we start making dinosaurs. We just have to approach this like designing a zoo rather than a safari theme park that's full of itself. Hammond really bought into technology being the key to making the park happen, but dropped the ball on human resources. Muldoon was the only person in the park with experience with animals and he was only a game warden for a safari/national park. He doesn't know how to run animal escape drills, write up safety regulations, train new hires, and build up a solid core of zookeepers Jurassic Park needs to stay around.
Hammond thought it was a brave new world, uncharted with no idea what to do, simply because it had dinosaurs. In doing so he evidently disregarded existing knowledge on how to contain big animals. A t.rex requires similar steps necessary to keep a tiger, polar bear, or elephant contained. It's a big predator, so it needs to be locked up for staff to clean its pen, give it food, and kept away from where it can harm guests. Once we get to the theropods and ornithopods we might want to see if they can be raised by emus or ostriches. That way they aren't left to fend for themselves with only Muldoon as a parental figure. Might help socialize raptors, if we go with them.