When you say bilingual, do you mean English and Chinese?
The Shanghai Pinge School might be a good fit for you (website here). It's a bilingual school offering the IB curriculum. You can also try the Yk Pao School (website here) which is also bilingual with a combined Shanghai and international curriculum.
We also have a list of recommended international schools in Shanghai over here which you may find useful.
What country are you relocating from?
I have been offered a job in Shanghai as a Principal. Sad thing is that the school I am assigned to has no elementary. The school says they will offset the cost, but it is still very expensive. I was wondering about homeschool options as my wife is not working or if she does part-time. Any assistance in this matter is greatly appreciated.