Sooner or later you will get tired of the aggravation, greed, and "misunderstandings" that comes with using recruiters and agents. When that day dome for you, as it did for me last month, this link will prove to be a blessing for you:
Not only will have access to over 6,800 direct employers but you also have a list of every school authorized by SAFEA to hire foreign teachers. So if a school offerds you a job and they are not on this list, you can take a pass.
This list also provides you something you can never get from your China employer, their full legal Chinese name that is registered with the government which is required to file a complaint. Also without this Chinese name you cannot check with SAIC to see if the school is even licensed to do business as a school in China (about 30% of the schools are not).