Which station should I stop if my hotel is Beijing Hyde Court Hotel in Xianmen street, Dongcheng

You can take the airport shuttle bus West Coach Station line to Qianmendajie Nankou Station. Then walk about 810 yards to the hotel.

Or you can take the airport express train to Dongzhimen Station. Then transfer to subway line 2 to Qianmen Station (the nearest subway station from the hotel). Take the Exit C and walk about 0.5 miles to the hotel.