Where to book the train ticket from Tanggu to Beijing and how to get to Beijing Peace Hotel from Beijing South Railway Station?

Greetings

I wish to catch the bullet train around mid day from Tanguu to Beijing South Railway station and then transport to Beijing Peace Hotel (3 Jinyu Hutong Wangfujing)

Could you please advise:
- where to book the bullet train (I am in Australia)
- how far the Beijing Peace Hotel is from Beijing South Railway Station and the best way to get there.

Thank you