You need to first decide what kind of 60s dance you want to learn. The music of the sixties was all over the map just like the broader culture. 60s pop culture took on many different forms and there were all kinds of dances being performed.
Most of these had to do with the kinds of music you were into. If it was rock or rhythm and blues or jazz or folk there were different dances associated with all of them. So figure out what kind of music you are most into first and then research how people were moving to it.