How to get to Beijing South Railway Station from Shangri-La Hotel, Beijing and from Tianjin Railway Station to cruise ship dock?

My wife and I are considering taking the high-speed train from Beijing to Tianjin. Where our cruise ship will be docked we are staying at the Shangri-La Hotel in downtown Beijing. Can you give us some idea of how the distances are between the hotel area and the train station. And can I assume that we best get to the train station by taxi. Then when we get off the train in Tianjin will we be able to get a taxi from there to the cruise ship docks. Any other advice or tips to make this journey hasslefree would be most helpful.
Thank you for your time and we look forward to hearing from you