I live in a very urban area, just a few miles north of Dallas, TX. I've seen bobcats around here several times. I've personally seen them the size color that you described. I've also seen them be as large as a medium size dog with more of a tan'ish color with gray'ish spots on the coat.
They are quite adaptable to urban life as in the wild & are generally nocturnal. This is the time of year when they are raising their babies, so hunting for extra food would be the order of business. I don't think they'd hesitate for a moment to view your babies as an easy meal. Please be careful.