He studied art at Bolton College, where he was taught by the typographer Tony Forster, with whom he would later become close friends.
Forster encouraged Grimshaw to apply to London's Royal College of Art (RCA).
[1] Grimshaw completed a master's degree between 1972 and 1975 at the RCA,[2] where he met David Hockney and John Gorham.
He returned to Lancashire after graduating from the RCA and opened a commercial lettering studio focusing on both typography and calligraphy.
Grimshaw designed multiple typefaces for Letraset between 1986 and 1995, including Oberon (1986) and Hazel (1992).