Hi Louise
You sound well qualified to teach in a good university in China. I suggest you look for a university that specializes in law. As for your family, most universities provide to families apts, for your infant, there are pleanty of English schools at very reasonable prices and safe. Try first to contact universities directly, after recruiters. I suggest that your goal be teaching law first, more money and better schedule than teaching esl with less educated teachers (majority of them).

If you need a list of universities, please let me know, I probably could suggest a few.

Regards, Paez