We don't have children, but Tatiana has been around children during family visits, and when we attend social events.
I always keep Tatiana in a front-carrying pouch (it's a pet carrier). If children want to pet her, it's naturally supervised by me, as Tatiana is strapped to my front. Oftentimes, I kneel in front of the children, and they pet her. We have nice conversations, too (What's her name? How old is she? I have a yorkie, too, etc.)
During social events, it's not unusual to see me walking around with a glass of wine in one hand, and a tiny yorkie strapped to my front.
It's laughable, I know. Also, it's a good ice-breaker.