How to go to Beiging Traditional View Hotel from Beijing South Station and what is the best way from the hotel to Tiananmen Square/the Forbbiden City?

I'll stay at Beiging Traditional View Hotel, JuEr Hutong, JiaoDaoKou south Street, Dongcheng in May, how to go there from Beijing South Station (from Tianjin) & how from the hotel, to go to Tiananmen Square/the Forbbiden City? What is the cost if by taxi? Thank You v. much