There is so much to see in Florida that can be day trips or weeks. In the Ocala area, there are the springs - Silver, Salt, Juniper, Silver Glen, and Alexander. We used to stay by the St. John's River in Astor and go to a different spring each day, or go to Daytona overnight and go to the beach early before it got hot. Most of the springs have campgrounds, canoe rentals, etc. Ocala and Gainesville also have museums. The butterfly museum would be neat for the kids. O'Leno State Park near High Springs is near a lot of other state parks with swimming, fishing, etc., and near Gainesville, too.
We spent many vacations with our two boys at Dunnellon, fishing in the Withlacoochee and swimming in the Rainbow River. Rainbow Springs is neat, but the K-P Hole is better for little ones. The springs has no wading area. Crystal River is nearby with springs, the archaeological site, fishing, etc.
In Georgia, Providence Canyon State Park near Cuthbert is neat. So is Amicalola Falls State Park, sort of north/east central Ga., or Fall Creek Falls State Park in Tenn., or Fontana in N.C. with the dam and hiking trails.
Good luck and have a good time.