If the kids are US citizens they can get theirs through healthcare.gov as well as your husband. You can also go through there I believe) after you get a green card, but you would need to do it through marketplace. Of course this is all based on if you qualify. I believe they have a link to submit a request for help applying. Someone will call you. I think you have to make an account and put in an application put in an application first. At least your husband and children could get coverage immediately.