I moved locally in Vancouver and used Angels Moving.
http://www.angelsmoving.ca/
The owner Peter Kohl offered excellent service. The price was very reasonable at $54.95 an hour.( With 2 men and a 16 feet truck). I have moved so many times. But this was the first time I actually moved without a hassle. He even arranged for someone to clean the apartment at $15/ an hour.
Hope this information is useful for anyone wanting to move locally in Vancouver.

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HOPE

That's very useful information, thanks Hope!