Getting from guangzhou east station to south station

I have my train arrivig to Guangzhou East at 9 am and my next train leaving from Guangzhou south at 10:36 (unfortunately there was no tickets straight to the south station) so i would like to know what is te quickest way to get from one to the other as I am afraid os very tide time. And also do you know what are the pick hours? So that could help a lot as well. Thank you.