I have a new folding bike and am planning a trip from Niagara falls to Montreal. I see on the Amtrak website that folding bikes are allowed as carry on luggage. Does the bike have to fold as small as allowed carry on luggage? A few years ago I took a trip to Montreal and the conductor was being difficult with the size of people's carry ons. My other choice is to use a "disposable" bike and ditch it in Montreal. John