A twin, Moir was born in April 1957 to Scottish parents who lived in British Malta.
[1] He made his debut for Scotland in a List A one-day match against Yorkshire at Leeds in the 1989 NatWest Trophy.
He played one-day cricket for Scotland until 1992, making fourteen appearances across the Benson & Hedges Cup and the NatWest Trophy.
[2] Playing as a bowler in the Scottish side, Moir struggled against county opposition, taking 7 wickets at an expensive average of 79.85.
[3] In addition to playing one-day cricket for Scotland, Moir also appeared in two first-class matches against Ireland at Dublin in 1989 and Edinburgh in 1990.