Where to stay at the east peak

Hi. How long is the travel from Xian to Mt. Huashan via bullet train? Is it feasible to hike from the entrance to east peak? Is there a place where we can stay at the east peak so we can continue hiking the other peaks the following day? Dates of travel will be April 25 to April 26.

What can hiking route do you recommend so we won't miss out on views if we decide to do just a day trip?

Thanks.

Jan