People keep asking about these and someone sent this article:
There are also loads of "Service Apartments" which are short term apartment rentals usually with daily maid service like hotels. We loved the Ascott in Beijing and they also have Ascott Raffles and Somerset. But there are many others too.
As for summer camps, the Beijinger (dot com) has lists of those but the dates might be off your school's summer since school here goes through June. In San Francisco we were out at the end of May.
I'm toying with the idea of organizing a summer camp for MI kids. The camp we attended last summer was for expats' kids and our US MI kids were advanced there. Plus, we didn't really need field trips to the great first-time-visitor sites in BJ. The kids were just hot and cranky at the Forbidden City. Little kids would rather run around in the park or do some kungfu or gymnastics in Chinese than sightsee.
I am enabling comments so chime in with where you're coming from, what's your kid's MI grade level, and when June/July/August you'd be interested in. Also, would you want it to be in the heart of the city or would you be okay with the suburbs of BJ?