Is it still colloquial in the US to "ride" in a car, or on a train, or just "ride" a train or subway? What about Canada? In the UK you "ride" a bike or horse, but never anything you actually get inside. You don't even get a "ride with" someone in a car, you get a "lift" with them.
I would catch a lift with someone to the corner, then ride the subway down to the train station, then
ride in take the train to another city. I might also ride on a bus at some point during the journey.
Cheers