I found this interesting entry in the March 19, 1898, issue of Rider & Driver:

The four-horse coach Pioneer will start from the Holland house, 5th Avenue and 32nd Street [in New York City], on Monday, April 11, at 10 a.m., leaving Ardsley on return, at 3:15 p.m., and arriving at the Holland House at 6 p.m. The coach will make daily trips, Sundays excepted, until June 4. This coach stops to take up and set down passengers anywhere on the road except between the Holland House and 59th Street. The route will be via Fifth Avenue, Central Park, Harlem, Washington Bridge, King’s Bridge, Van Cortlandt, Yonkers, Hastings, and Dobb’s Ferry. Single trip $3, round trip $5. Box seat $1 extra each way. Passengers are cautioned to be on time.

The public four-horse coach Good Times will begin its regular trips between the Waldorf-Astoria, New York, entrance No 2, 34th Street, and Woodmansten Inn, Westchester, on Monday, April 4, at 10:30 a.m. sharp. The season will continue with daily runs, Sundays excepted, until June 25. Daily time table will be as follows:

Departure from Waldorf-Astoria, 10:30 a.m.; arrival Woodmansten Inn, 1:00 p.m.; departure Woodmansten Inn, 3:30 p.m.; arrival Waldord-Astoria, 5:30.

The route of the Good Times will be as follows: Going out, via Fifth Avenue to Central Park, to 72nd Street to Riverside Drive, with stop of five minutes at Grant’s Tomb, to Manhattanville, to St. Nicholas Avenue and Kingsbridge Road, across Washington Bridge to Bronx Park and Morris Park to Woodmansten. Returning, via Jerome (Central) Avenue, Macomb’s Dam Bridge (Central Avenue Bridge), 7th Avenue, and Central Park East Drive. The fares will be single outside $3, inside $2; round trip outside $5, inside $3.50; box seat $1 extra each way. The coach will stop to pick up and set down passengers en route. The guard will book parcels. Seats may be booked at the office of the Waldorf-Astoria. A special $1.50 coach luncheon will be served at the Woodmansten Inn. We are requested to announce the following nota bene — Coach starts on time.

Mayor Van Wyck and Hon. George C. Clausen have issued licenses for running the public stage coaches Pioneer and Good Times from the Holland House and Waldorf-Astoria, respectively, through New York and the parks to Ardsley Casino at Tarrytown-on-the-Hudson and Woodmansten Inn, Westchester.

… to be continued tomorrow …