Moore played for the University of Michigan from 1972 to 1976. He was a NCAA West first-team All-American in 1974, and a second-team WCHA All Star in 1976. As of 2001, Moore held the Michigan Wolverines hockey record for most saves by a goaltender with 4,434. He played for the University of Western Ontario for the 1976-77 season. Moore was drafted by the New England Whalers of the World Hockey Association in the 11th round of the 1974 WHA Amateur Draft but he did not sign with the Whalers. Although undrafted by the National Hockey League (NHL), he signed as a free agent with the NHL Philadelphia Flyers on November 7, 1978.\n', '

Moore spent most of his first three professional hockey seasons with the Flyers\' American Hockey League (AHL) affiliate, the Maine Mariners. In 1978–79, Moore shared the Mariners\' goalie job with Pete Peeters and Rick St. Croix, posting a 3.38 goals against average in 26 games as the Mariners won the Calder Cup as the AHL champions. The Mariners led the AHL in goals against average for the season, and Moore and Peeters shared the Harry "Hap" Holmes Memorial Award, awarded to the goalies who play at least 25 games for the team that leads the AHL with the lowest goals against average. Moore also played five regular season games for the Flyers that season after Hall of Fame goalie Bernie Parent suffered a career-ending eye injury. His NHL debut came on March 6, 1979 against the Colorado Rockies, and Moore registered a 5–0 shutout in his debut. In his five NHL regular season games, Moore had a 1.77 goals against average and also earned one assist. He ended up with two shutouts in his five NHL games, placing him in the top 10 for NHL shutouts that season, in a tie for 9th overall.\n', '

Moore was also on the Flyers\' roster for the 1979 playoffs. He played five games in the playoffs as well, more than any other Flyers\' goalie that season. He had a 4.03 goals against average in the playoffs and one assist, as the Flyers won their first round playoff series against the Vancouver Canucks but lost to the New York Rangers in the second round.\n', '

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