Complex sentence: After graduating, he lectured at Saint Martins School of Art in London; later moved to Chicago, where he worked as Art director of Playboy; and later returned to London and worked as Art Director of King.
Split into simpler sentences: After graduating, he lectured at St Martin's School of Art, London; and then moved to Chicago, where he worked as Art director of Playboy. He later returned to London and worked as Art Director of King.