How do I avoid going to jail?

While criminal contempt is a serious charge, it is not necessarily one that can't be resolved without jail time. Generally speaking your attorney should be negotiating with the District Attorney's Office towards a possible disposition that would not involve you going to jail. Typically these can include violations, adjournments in contemplation of dismissal, or even in a worst case scenario a misdemeanor with a program. Your best bet though is to contact an experienced criminal defense attorney to help you by negotiating with the DA. Good luck!