This page features Connecticut family vacation ideas inlcuding things to do with kids, and family friendly hotels with seasonal vacation packages. Best places for family vacation fun: Mark Twain House, The Beardsley Zoo, Mystic Aquarium, P.T Barnum Museum, New England Carousel Museum, and Stepping Stones Museum for Children. Hike in Dinosaur State Park; climb aboard the USS Nautilus; share thrills amusement park thrills at Lake Compounce; go family snow tubing or cross-country skiing.