Speaking from a rescue perspective: I never make a blanket statement about who I will adopt to...BUT I will say this: Yes, there well behaved children with small pups, but the numbers of pups who come to us after being ruined by children is pretty eye opening. They either carry them all over until they drop them and break a leg (or worse), or they get in their faces constantly wanting hugs until the pup bites them or they run and play with tiny pup underfoot and tiny pup gets hurt. The families THEN turn to rescue OR drop them off at a shelter.
I keep saying I should keep stats on the owner surrenders we get. Like I said, no blanket statements but I am wary about families with young children and I make no excuses for it. My job is the proper placement of a pup so it is not traumatized again. The pups I am referring to came from breeders who cared ONLY about money in hand. They had NO idea nor did they care how the pup would be treated. Very common occurence.
And, the fact is, yorkies are terriers and not known to be good with children. That is a fact that everyone wants to go away, but it isn't. Not saying it never works...my grandson has a yorkie. I am merely commenting on what I know about children and yorkies.