Day Trip from Shanghai to Suzhou

Hi

Planning to go SZ from Shanghai by bullet train.

Places of interest includes Tiger Hill, Lingering Garden, SZ Museum, Humble Administrator's Garden, Lion Grove Garden, Silk Museum, and the Beisi Pagoda.

My findings to travel as follow, please confirm it

1. Take bullet train from Shanghai Railway Station to SZ Railway Station OR Suzhou New District Railway Station ?

2. There are tourist buses at the railway station to go to the places of interest as mentioned above, right?

3. We can take the same buses back to Railway Station for our return to Shanghai, right?

Appreciate your kind advise.
Joanne from Singapore
joanneleekmyahoo.com.sg