See dinosaurs a cave and an ark at the Creation Museum 2800 Bullittsburg Church Rd Petersburg, KY 41080
Read a book at the Boone County Public Library in Burlington – from storytime in the park to Toddler Time, there is lots to be explored at the library http://www.bcpl.org/kids/
Go fishing at Prisoners Lake, learn about Northern Kentucky History at the Museum, or reserve a pavilion for a family birthday party, all at Devou Park in Covington http://www.devoupark.com/