I suspect that many good Chinatown restaurants would welcome families with well-behaved young children. And I suspect that most 2-year-olds would not love spicy Szechuan foods.
So that leaves, among many others, Nam Wah Tea Parlor, Dim Sum Garden, Tom's Dim Sum, Sakura Mandarin, Nan Zhou Hand Drawn Noodle House, Shiao Lan Kung, Ting Wong . . .