Buuxi weedha soo socota: Tyrell wuxuu ahaa doorashada wareega shanaad ee Prince George Cougars ee Horyaalka Koleyga Galbeedka (WHL) Bantam Draft sanadkii 2004. Wuxuu ka soo muuqday hal ciyaar xilli ciyaareedkaas ka hor inta uusan isu dhigin inuu si joogto ah ula ciyaaro Cougars 2005/06. Waxa uu dhaliyay 30 gool xilli ciyaareedkiisii labaad, waxaana loo doortay wareega labaad ee
2007 NHL Entry Draft oo uu sameeyay Tampa Bay Lightning. Intaa waxaa dheer, wuxuu sameeyay kulankiisii ugu horreeyay ee caalami ah ee kooxda da'yarta Kanada ee 2007 Super Series, isagoo dhaliyay hal gool sideed kulan, laakiin wuxuu ku guuldareystay inuu ka mid noqdo kooxda 2008 World Junior Ice Hockey Championships.