Dee ihe ga-aga n'ihu na paragraf a - Brady nwere ọmarịcha ọrụ hockey na WHL na Medicine Hat Tigers. Mgbe o nwetara akara 81 na egwuregwu 72 ma debanye aha ihe karịrị 100 nkeji ntaramahụhụ na 1985<unk>86, Brady bụ onye nke atọ nke New Jersey Devils họọrọ na 1986 NHL Entry Draft
Ọ dị mma. A laghachiri ya na nwata, wee gbanwee pro na AHL's Utica Devils na 1988/89. O mere NHL mbụ ya n'abalị ise nke ọnwa Ọktoba n'afọ 1989.