There are a few things to do here that are family friendly.  There's Lost River Cave (really long cave with underground river) where you can take a boat ride right near Greenwood Mall.   If you like that, Mammoth Cave National Park is about 30 miles away.  There's a Nascar style go-cart place called Race World.  There's a nice water park although it maybe a little cool for it.  There's Brim's Science Museum near WKU and also WKU Museum.  Also, a nice movie theater with an arcade and stadium seating.  If those don't appeal there's always Nashville.