A lot of TV and film production occurs in Vancouver, but I'm not familiar with the industry, so it's hard to tell whether your position of "researcher" would be in demand.
Have you figured out the steps you will need to acquire a proper work visa to work in Canada? If not, I would search the forums, as this has been discussed many times before.
Depending upon where your boyfriend will be working, you'll want to consider his commute. As a young couple, I would recommend against living in the outer suburban areas of Burnaby or Richmond, and try and stay closer to downtown. Someone who is more familiar with the area could give you specific areas that you might enjoy.
As of 2006, median rent in Vancouver was $812. (Source:
citystats.ca)
Yes, you should be able to find a furnished apartment without much trouble. Use
craigslist.