Connecticut Climbers with Young Kids

Folks,
I'm the 27 year-old father of a 2 year old girl.
I'm looking to find a group of climber-parents to do some kid-friendly outings with.
I live in Wallingford, but am willing to travel.
My idea would be to get a group of 3+ adults together that can trade-off climbing, belaying, and parenting.
And get the kids climbing as their interest and abilities allow!!!

How far are the Gunks for you? Have noticed a lot more babies and carriages in the past few years, so it would mean there's already groups of like-minded parents doing this.