The best way to get the CFI job you want is to train at that school. At least do your CFI there, since they prefer to hire their own customers (who also know their procedures).
There are several things to look for in a school to work at...
1) Close to home if possible
2) Good reputation as an employer...ie no jerk managers or pressure to break FARs.
3) Conducts ME training so you can get your twin time without paying for it.
If your training is already done, the best way to get a job would be to network with whoever you know in your local GA scene. Otherwise print out some resumes, put on slacks, shirt, and tie and go door to door at every GA operator in your area.
If that doesn't work, find out what the experience requirements are to freelance at the local clubs and FBOs. Freelance requires initiative because you have to find up your own students, but you can charge more. Once you get established, additional students will usually find you by word of mouth. Of course you have to withold your own taxes each quarter, and maybe get a business license.