Are there buses between Hilton, Beijing and west railway station? What is the best way to get to the Silk Market from this hotel?

Hi， there is no direct bus linking the hotel and the train station. You'd better catch a taxi between them.
From the hotel to the silk street, you can take a taxi to Fuxingmen subway station, then take subway line 1 and get off at Yonganli. Then you could walk to the silk street.
It is hard to tell you the price since it varies much for different quality and brand. You can go to Beijing OK Golf shop at 39 Dongsanhuanzhong Lu, Chaoyang District to look for food golf clubs.