The Bomo Baby Carriage is essentially a Roomba with a seat for a baby on its back. There's no way this'll ever go wrong!
It'll follow you around with the kid in tow, avoiding obstacles as it goes. It can also be set to rock the baby to sleep. But the real brilliance is in manual mode, which lets the kid control his or her own destiny by driving using the pedals and steering wheel. It claims to still avoid obstacles in this mode, but I don't know if it senses the top of the stairs as an obstacle.