Posted 29 June 2017 - 03:38 PM
Even though there are checked baggage options going to the Grand Canyon (transfer point of Flagstaff instead of Williams Junction, Thruway ticketed bus services to South Rim available at Flagstaff), Waterloo itself does not handle checked baggage, so checking things is not an option.
Informally, the train crews generally allow you to carry on anything you can do in one trip (no going back to the platform for more). So if you can handle the double stroller and your luggage while wrangling the kids, probably no problem with Amtrak. At worst, you'll probably get hit with the relatively new excess carry-on fee of $20/piece. The crew can generally find a place to stick things (these are not airplanes, after all), in coach in single level equipment, at the end of the car, in Superliners, the luggage rack downstairs, although in coach that can get pretty crowded.
You better not expect to carry that thing onboard an airplane, though.
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