There's so much out there now for research about the effects of staying in a dysfunctional home and how it has ill effect and serious ramifications on the children.
The major advice would involve if you do leave know your rights and limitations. For instance, with children, know how far you can or cannot travel. Reach out to a woman's shelter for information. They can perhaps, also assist you in getting back on your feet and help you give stability to yourself and your children.