I think the two important words are information and network.
Information because you should make every effort to find out about what kind of help and support you are entitled to. When it comes to finances and stuff like that, expect to find hurdles in your way, but you should persist and fight for what you're entitled to.
Network because you're going to need all the help you can get from friends and family. I know when I was having a tough patch, I was really lucky to have friends and family who were willing to help me out.
It takes a bit of humility to ask for help, but don't be afraid to do it. It's for the good of your kids. Just remember everyone that helps you out along the way, and make sure you look out for them when you're in a position to do so.
If you have any other specific questions, feel free to post them on here. I might not know all the answers, but I'm pretty good at hunting down information online.