I booked my place on the long-distance bus for the next day.
This is British English, not American English. In the US it's called a bus. In England if it is a local service it's a bus. If it travels further afield, it's a coach.
If it occurs in a novel by Dickens, coach refers to a horse-drawn vehicle. And if the coach is also carrying mail, it's "booked my place on the next day's mail".