@infallible star
I might be able to assist with a suitable solution for you.
My wife and I faced the same issue and only just moved to Chengdu from Australia after finding a suitable education option for our 5yr old son.
There is a new International school (which I now work at) in the East of Chengdu which is taught in a bilingual environment (English and Chinese). It is an I.B system teaching grades K-12 and also offers boarding for kids over 8yrs old. The school is a campus of Beanstalk International Bilingual School (BIBS) from Beijing where it has been operating for 24 years. There are 8 campuses in Beijing, 1 in Kunming, XiAn and now Chengdu. All our classroom teachers are experienced foreign teachers and the majority of the school management team is also foreign.
The campus is huge and caters for 1,500 students. It has a full size running track, swimming pool, soccer field, basketball courts and a 2 story cafeteria serving western and Chinese food.
We will open grades K1-G8 on August 22 this year and are offering some amazing discounts as we are a new campus. If you would like to come and visit the school, please add me on WeChat: BrentNW , or call: 8481 0088 . If the price is affordable for you then I think this will be a good solution for all of your children.
There is more info if you need it on our website bibs.com.cn