It's not too young. They'll be fine. Last year I brooded about 30 day-old chicks out in the coop in March in Minnesota. They had a heat lamp until they were fully feathered, and they got along just fine. If you have a way to keep them warm out in the coop, chickens don't NEED to be in the house. I think it's unhealthy for them to be in the house, myself. Think of all the dust and dander from them that's in the air you breathe.
I agree with Kiki, though, you need to make sure your coop and run are predator proof. "The suburbs" hold all kinds of potential predators. Raccoons, fox, opossums, hawks, even coyotes. You've probably never seen them before, because you've never put out a chicken buffet for them before.