Based my boat in the BVI for eleven years; been sailing there for 35+ years.
You'll find lots of families on the charter boats (from the Moorings, Sunsail, etc.). You'll meet new ones, and some of the same ones, in all the favorite anchorages.
My kids grew up sailing there many years ago on our 2-month vacations every two years. They'll love the snorkeling, swimming, beachcombing, and all the watersports now available.
Have a great time, and don't worry about "hooking up" with other families.
S/V Born Free