Jiai is about the best local option. Besides the already mentioned doctors Chen and Dong, Dr Sun Xiaoxi is also a very good option (he is in fact the research leader at Jiai) with excellent English. As he is very busy, a part of the intakes and regular checks is done by his assistant Dr. Chen Junling, a young lady who just did her PhD in Canada (UBC).
Success rate at Jiai seems to be the highest in Shanghai, but be prepared: their working process is very local. So crowded, noisy, long waiting times, the whole lot. Only during the actual IVF, ladies finally get the appropriate privacy.
Costs are about CNY 35000, including the egg freezing.