I live in Vancouver and really the only wildlife to be aware of when you leave the city are bears and the occasional cougar.
You don't have to go far from the city before you are in bear country.
Never wander around in the woods alone and always make noise. If there are bears in the area, you want them to know you are coming. They will try to avoid you. Even bring bear spray.
If you are in a provicial park there will sometimes be signs posted if there is a bear in the area.
Cougars are a different story. Another good reason to take a friend or two with you.