How can I get the best deal on renting a furnished room or apartment in or around Quebec City, Canada?

Try these websites:
http://www.metroroommates.com/town_rentals/Canada/QuebecCityArea_towns.asp

I got it by typing in "furnished rooms in QUEBEC CITY" into Google:
http://www.google.ca/search?hl=en&q=furnished+rooms+in+QUEBEC+CITY&meta=