Huyke played for the Hastings Giants, a San Francisco Giants minor league affiliate, in 1959. He played for the Monterrey Sultanes of the Mexican League in 1960. Huyke also played for the Puerto Rico national baseball team in the 1960 Caribbean Series. Huyke played in the Kansas City / Oakland Athletics system from 1961 through 1968, and for the Pittsburgh Pirates system from 1969 until he retired after the 1973 season. He was featured in an article in the June 14, 1971 issue of Sports Illustrated Magazine.
In 1974, Huyke began his managerial career. He managed in the Pirates' organization from 1974 through 1989, and 1990 through 2004. He voluntarily stepped down as manager after the 2004 season, remaining with the Gulf Coast League Pirates as a coach. One of Woody's early successes, in 1989, was identifying Tim Wakefield's potential as a knuckleball pitcher (at the time, Wakefield was a light-hitting first baseman) and convincing the Pittsburgh Pirates organization not to release him.
- Jordan, Pat. "An Old Hand With A Prospect". Retrieved 16 June 2017.
- "Pirates Rookie Coach Steps Back". Pittsburgh Post-Gazette. November 23, 2004. Retrieved November 16, 2011.
- "The Evolution of Tim Wakefield Knuckleball Pitcher". New York Times. July 11, 2009.
- "History: MiLB Major Award Winners". Minor League Baseball. Retrieved 2011-10-09.
- Career statistics and player information from Baseball-Reference (Minors)