I can't see your route either.

However, what I will say is this ... based on my years of cycling long distances in Canada ...

-- it's a long way, so you'll want to do some training before you get going.
-- get used to riding in wind
-- get used to riding in all sorts of weather
-- give yourself lots of time

Most people prefer to ride west to east and one of the reasons for that is that the prevailing wind tends to be from the west. No guarantees, however.

If you start in BC and work your way east, aim to start the weekend before the May long weekend. That's when campgrounds open so you'll have places to stay.

Where possible, stay off the TransCanada highway. The TransCanada highway tends to be the least scenic part of Canada and also tends to have a lot of traffic. You can get away with riding the TransCanada in Alberta, and probably will want to do the Rocky Mountains to Calgary leg that way, because it has a wide shoulder ... but outside of Alberta, ride somewhere else. Especially through Manitoba. Do not ride the TransCanada in Manitoba.

I'm not familiar with the eastern part of Canada after Dryden, ON so I can't comment on how you're going to handle the Great Lakes.