Yeah I'm going tonight, it's on rain or shine so bag-up
Going to Hamilton, I've never gone straight in Burlington, but I've been out that way a few times - Lakeshore is just fine - lovely ride and not TOO busy if you leave early - just make sure you miss the mega-store mayhem times in Mississauga and you're set. Hwy5 (Bloor/Dundas) is also OK, but is a bit busier and could be a bit too far north/out of the way to be getting into Hamilton. (I think the closest I got was Peter's Corners or like around Waterford or whatever that town is at the top of the escarpment hill when I went to Cambridge).
Time to go hunt out some new rain pants, methinks. Stretching of the legs is needed.