Dual Citizenship, One Passport

I have recently aquired my Canadian Citizenship, after many years living there, but over the past year have been travelling back and forth to Austria. ( Canada is still home). I use a British Passport which was no issue with a Perm. Residence Card, but now find out that I should obtain a CDN Passport because of my citizenship considered dual. I am travelling back to Canada for 4 weeks in a matter od days and concerned about entry the airports. If I only have my citizenship card and British Passport, will I get through without problems? Any insight or shared experiences would be great. Oh and great forum by the way!