I moved a car from Quesnel, BC to the GTA a few years ago.
The market rate at the time was about $3K for a good hauler. I regret trying to go for the cheapest carrier, as it resulted in longer transit time, more cross-docks, and ultimately a bad experience. Stay away from the small time brokers.
As others have mentioned, Livingston is a solid choice. Moving cars is what they do.