Gubei Water Town stay and private transport

Hi,
1. How do i book the inn in gubei water town? i searched online but all not available. can you help me pls?
2. i would like to reach Mutianyu by 0730am. i m going to stay near Forbidden city area. is there any private transport arrangement and how much is it? i just need single trip. i would like to stay there peacefully without worrying that the driver is waiting for me.
3. i would like to have another private transport from south railway station to gubei water town. how much will it be?
i will be in Beijing probably last week of July this year.