I was one year behind you, and we had duck and cover drills in elementary school in the mid to late 1950's. We didn't have these drills in junior high or high school.
Our neighbors had a bomb shelter built, too.
In the UK we still had information on what to do in the event of a nuclear attack broadcast as commercials on the TV in the 70's plus booklets issued to the public.
From age 16 I was in the Royal Observer Corps until they were finally stood down in 1991. Life feels a whole lot more secure these days.
From 1955 the Corps operated from 1563 ROC underground monitoring 'posts' about 7-8 miles apart from each other throughout the UK.
Protect and Survive - The Warnings - YouTube