we are staying at beijing shindom tao rang ting hotel. how far is this hotel from BJ train station.

Your hotel is about 4 miles from BJ train station, and the Tiananmen Square is 3 miles away from your hotel. You can walk southwards from your hotel to take bus no. 59 near the northern gate of Taoranting Park. You will arrive at Tiananmen Square after 8 stops.
There is no direct bus or train from your hotel to the airport. You need to walk northwards to East Nanheng Street; go eastwards and turn north at the first T-junction to find the stop of bus no. 23. Alight at Ciqikou Xi and transfer to airport shuttle bus BJ West Railway Station line to the airport. The fare for the shuttle bus is CNY24 and it only accepts cash.