Teachers are not in demand, except in very remote places up north. Not in a popular place like Vernon. To teach in Canada, you need a provincial certificate for that province. E.g., I have a Federal one - not good; it has to be from that province. It might be better to get certified here if you want to teach, but, immigration would have to be on the family reunification plan. Assuming you, and your girlfriend are a family, as in living as if you were married.