Coming by TaxiTaking a taxi from the airport or train station is easy nowadays. From the airport it is a quick direct ride that takes roughly 30-40 minutes depending on traffic. The cost should be between 80-90RMB. From the West or South train stations, expect to pay 40-50RMB and spend 30-40 minutes in the car. The main train station is a 25RMB and 20 minute journey away.
Express Train from the Airport -> SubwayIf you are traveling solo, the train is a slightly cheaper option. Hop on the express train and head right to the end of the line (Dongzhimen). From there you can transfer to the circle line 2 (blue) and board in the direction of Xizhimen station. Stay on for only 3 stop, roughly 10 minutes, and then exit at the Gulou stop (drum tower) Exit B. Follow the subway walking map 10-15 minutes to The Orchid.
Walking from the Subway StationFrom the Gulou (drum tower) station on the circle line 2 (shown usually in blue), take the Exit B which is located on the south west corner of the intersection. From there, head from the exit directly to the small main road (**not the highway). Cross it, and turn right. Walk 400 meters south until you arrive at Doufuchi Hutong (6 minutes). Turn into the alleyway and continue past the small square to the next Hutong intersection called Baochao Hutong (7 minutes). Make a right and walk south another 50 meters and you will arrive at the alleyway entrance to The Orchid.
See the area from above!Some fun satellite shots of the area, all neatly annotated with useful bits of info.