staying at west lake, hangzhou. where can i get the ariport shuttle in this area?

Well, west lake refers to a large area, so which part do you mean?
If you are in the east part of the west lake, the nearest shuttle bus stop should be the Chengzhan Railway Station, about 1.2 miles from the west shore of Xihu Lake. In the railway station, you can take the shuttle bus Pinghai Road Line to the airport. The bus fare is CNY20.