I am staying at the Shindom Inn Liujiayao Hotel. what is the best way to get to the Wall?

Gary, which section do you like most, Badaling, Mutianyu, Simatai, Jinshaling or any other parts.

Badaling

I suggest you walk from ur hotel to Liujiayao metro station to take local subway line 5 to Chongwenmen station, where transfer to line 2 to get off at Xizhimen. Get out from exit A2 to walk to Beijng North Train Station. There you can take a train to Badaling directly!