The subway is def. the best way to the RTR and Chinatown. But for the trip to Woodbury Common ask the concierge at the Waldorf. It will be more expensive than a bus, but they might be able to arrange for transport on your schedule.
Hope you have a nice stay at the Waldorf.. Chinatown: take the train south to canal street chinatown is main south of Canal It is a big area look for mulbery or mott streets. Fun place tp eat is Wo Hop at 17 mott street. RTR is on 57 street a walk or short cab ride from where u are. Woodbury Common is far out of the city in Orange county you can either drive or take a bus from port authority plan on spending the day It won t be a quick trip Hope this helps
In regards to Chinatown, take the downtown (southbound) 6 train (Green Line on the subway map) from 51st Street to Canal Street.In regards to the Russian Tearoom, which is located at West 57th Street between 6th and 7th Avenue, take the downtown (southbound) E train (Blue Line) from Lexington Avenue and 53rd Street to 7th Avenue-53rd Street. You can access the E train from 51st Street subway station.Once on 7th Avenue, exit the subway and walk four blocks north along 7th Avenue from 53rd Street to 57th Street. Turn right at on 57th and walk a half block along 57th Street from 7th Avenue to the Russian Tearoom.If you preferred to walk from the hotel to the Russian Tearoom. The link below shows the walking directions from the hotel to the Tearoom.http://maps.google.com/maps?f=d source=s��In regards to Woodbury Common, the subway does not go there, however, you can take a bus from Port Authority Bus Terminal. Take the downtown (southbound) #6 train (Green Line) from 51st Street to Grand Central.Transfer at Grand Central to the 42nd Street Shuttle (Black Line), which will take you from GC to Times Square.Once at Times Square, walk a block west to the Port Authority Bus Terminal and take the ShortLine bus from the PA Bus Terminal to the Common. I hope this information is very helpful.Good luckNative New Yorker