I'd go with what other posts read, which is go with some form of temporary accommodation which will allow for you and the family to get a feel for where exactly best suits you. something harder to do from far away, especially if you all have never been here before.
no matter what though, just read as much as you can so that you can be forewarned and therefore forearmed about how things are negotiated and what you are likely to get for your money. be careful and a little watchful over who is doing the translating and dealing for you on your behalf, even if the person is not a real estate agent, its highly likely that the person will take some financial incentive one way or another. since you have no Chinese language ability you can and will be taken advantage of. sounds cynical, but its the reality here in PRC. even the person helps you is a professional or not, it helps to know all the links and connections, and be mindful that even a person can or may sound as though they have a great grasp of the English language, there will be many things that they will most likely not understand at all, but will never tell you. therefore it is very easy for miscommunication and misunderstanding to eventuate. always try to have the person paraphrase back to you, and visa versa. keep in mind some of the everyday, informal street lingo that you use on a daily basis, will most often not be understood. take the difference in US English vs British English which have very different nouns for a large variety of items.
IMO with your budget you can do really well. Incidentally, it might be worth considering taking a serviced apartment for a slightly longer period, and actually buy a property rather than just renting, which is really a waste of capital. sure if its not coming out of your pocket, but in reality many expats used to do this on their overseas postings, using their accommodation allowance to help pay of a mortgage... sensible idea. there are some limitations though that you will need to work through, such as being resident in the country for 12mths before an expat can purchase residential property, and another is that must be bought to be lived in by you. note though that there are creative workarounds to these rules. these and many other requirements are the countries attempt to cool an overheated and speculative property market