The Fruits of my Labour

Budget has a new fleet of trucks.	U-Haul's trucks may be new or ancient.
For one-way rentals, only a 16-foot truck is available, in limited parts of Canada.	Almost all types of trucks are available for one-way rentals anywhere in North America.
Depots are in major cities.	Depots are just about anywhere.
Trucks have a low deck.	Trucks have a very low deck; very easy to load; lower clearance required.
$944.23 tax included for a one-way rental from Vancouver to Red Deer	$1059.52 for the same move with a truck 57 cubic feet smaller and same insurance
You rent an empty truck.	A dolly and furniture pads takes up valuable space in the truck; you can't remove them unless you want to pay for them.
Our truck was provided to us with a full tank of diesel.	Our truck was provided to us with less than a quarter tank of gas.
Cube truck	"Mom's Attic" over the cab
Diesel or Gasoline fuel	Gasoline fuel

The verdict: If each end of your move is in or near a city with a Budget depot, and a 16-foot truck will suit your needs if you're doing a one-way rental, we recommend Budget for their newer trucks and competitive prices.

If you're picking up and dropping off your truck at the same location in a major city, you may also wish to investigate Penske and Ryder.  (Note that these two companies have different insurance terms than Budget and U-Haul.)

If your move isn't near a large city, you're doing a one-way move outside of Budget's area, or you're doing a one-way move and a 16-foot truck isn't appropriate, U-Haul will often be your only option.