Rubuta ci gaba don wannan sakin layi - An tsara Boychuk a matsayin na 61 a cikin National Hockey League (NHL) 2002 Entry Draft
ta hanyar Avalanche na Colorado. Kafin a tattara shi, ya taka leda tare da kungiyar Calgary Hitmen ta Western Hockey League (WHL). Boychuk ya fara wasan sa na farko tare da Hershey Bears a kakar wasa ta 2004-05. Boychuk ya kwashe shekaru hudu masu zuwa a cikin kungiyar Avalanche da ke wasa da farko ga abokan hulɗarsu na American Hockey League (AHL). Ya fara buga wasan NHL a kakar 2007-08 a ranar 5 ga Janairu, 2008, a kan New York Islanders. Boychuk ya fara zama na farko a matsayin dan wasan gaba da ke wasa a gefen maimakon matsayinsa na mai tsaron gida.