The Delta we stayed at was near St. Catharine's, the party district, so unless you're into strippers I can't really recommend it. I'd want to stay closer to the water, near the public market.
We also stayed one night at the airport Hilton. I wouldn't say that was near any sights.
Getting from Montreal to VT is easy as pie once you're on the right road headed south. I don't remember there being anything interesting on the way, just flat farmland and straight roads. Mapquest should be the best way to get directions.
Must-sees, there's the Basilica that I thought was amazing at Mont Royal, which has a fantastic view. It's a 5-minute walk in, but worth it unless there's a blizzard. The other sites that impressed me were mostly in Old Montreal, Notre Dame is there, there's a public market (not sure if it's open in winter, though), and lots of old, old architecture and buildings.
DH says to see the underground mall, but he forgets what it's called. Your hotel should be able to tell you.
DH also said it takes less than 2 hours to drive from Montreal to Burlington, so it doesn't really matter where you stay.
HTH!
Petra
Mother of Two
Owner of BaDumBums