As long as you're still legally married you and the children should be covered in the same way you were before he left.
In my state, as soon as we're D'd, I have to get my own health insurance. H's insurance will still cover the kids.
Life, you would be very wise to consult with an atty. Just go and find out your rights. It will take a lot of the fear away because you will know what to expect if either you or your H should decide to file for D.
