The Met Hotel
http://www.themethotel.com/
This is an older, no frills, but very nice budget priced hotel, only a couple of blocks from both the show hall and my home. There are only 26 rooms so it's a good idea to reserve early. They do say they allow caged pets, although it might be a good idea not to mention the "R" word.
The Inn at Westminster Quay
http://www.innatwestminsterquay.com/
This is a much fancier hotel and pricier too. It's a few blocks further away and pets are allowed for $75 fee. Yikes! That seems a bit steep!
There are plenty of other hotels around town, although those are the only 2 that say they allow pets. You can find more info on beautiful downtown New Westminster, restaurants, attractions, etc, here:
http://www.tourismnewwestminster.com/
http://www.newwestminster.worldweb.com/
http://www.gobc.ca/new-westminster-travel/
http://new-westminster.travel.bc.ca/