We were sure we'd get hit or get fallout when MacDill got hit. Back then there was also some sort of installation in Orlando (northeast) and a bombing range to the south so we worried about those, too.
My parents drilled all of us on what do do if an alert happened during school or when we were out playing. Even though back then most of the kids my age were kind of feral after school, we stuck close to home during the height of the crisis.
At nine, the year before the Cuban Missile Crisis, I somehow got hold of Alas, Babylon by Pat Frank which was set not very far from my home town so I had a very horrifying understanding at what could happen. I knew that if the book was true to life the precautions my Dad was taking would do no good at all and we would all probably die horrible deaths. I didn't sleep much during that period.
Even in my first years of college when many of were sure Nixon would get us into some major nuclear war, I didn't join in the planning for where in the world to move to stay away from a war. I figured the better route would be to die fast. It wasn't until I saw the movie Matinee that I really defused the fear from that period.