Hello there GeoffC90,
You would be a most welcome addition to either of the two games you are thinking about attending. There is a more heated rivalry against the Toronto ArgoSnots than there is against Montreal. It would be great for you to teach your 2 young ones "the "Banned Chant" since it is part of Tigercat folklore.
Football aside, there are a virtual ton of things for you to do within a 1 hour radius around Hamilton since we are central to what is refered to in Ontario as "the Golden Horseshoe" area (which is our version of your the Bos-NY-Wash megalopoulis). Marineland, African Lion Safari, Toronto Zoo, Ontario Place, Toronto Blow Jays (at home the weekend of the 7th) to name just a few.
I will have definately 2 seasons tickets this year in 30A and possibly 4 and have always had spare tickets left over (by the end of the year 26 2 years ago and 9 last year) which can be redeemed for other tickets to subsequent games. I expect that by the dates you mention I will have at least 4 if not more in the bank to be traded in and as I did with a couple from Germany last year, they will be yours at no cost for the asking. Consider this offer good old Canadian generousity for someone who is still interested in our game. Private message me closer to the date and I will confirm the tickets.
Cheers and welcome to Hamilton