[1] After graduating from high school, he served in the United States Army Air Forces during World War II from 1943 to 1946.
As a freshman, he shared quarterbacking duties with future Hall of Famer George Blanda but then switched to center and linebacker as a sophomore.
Ulinski considered transferring to Eastern Kentucky University to play basketball, but changed his mind after the marriage rule was rescinded.
He played center for the Redskins for two years before a contract dispute with owner George Preston Marshall forced him to go to the Ottawa Rough Riders of the Canadian Football League (CFL) for the 1952 season.
After retiring from football in 1956, he lived in Louisville, Kentucky, where he worked as a salesman for Hubbell Metals and National Steel Corporation.