Hugh Jampton, I think you have your wires crossed. The song you can recall which starts with those lines is called, "Follow Me", by the South African Paddy Roberts. I like the song, but Tom Lehrer's "Be Prepared" is altogether sharper, ruder and funnier.
I like just about everything Tom Lehrer did. "Masochism Tango" and "Poisoning Pigeons" are high on my list, but "National Brotherhood Week" and "Werner von Braun" are not far behind. It's worth mentioning that his deadpan song introductions were often even funnier than the songs themselves... "If people can't communicate, the least they can do is to SHUT UP!" He was a master of his craft.