You didn't mention whether there is any equity in the house or not? That would change the picture if there was.
As for the divorce - it might not be such a great idea to go through a divorce right now, with H unemployed, you might have to pay HIM spousal support. But you should at least consult with an attorney and find out how to protect yourself from any liability for H's debts that he may be running up now.
Also, you only have 30 days from his termination to apply for COBRA coverage, so you need to get on it.
