My husband recently moved out of our home we are still married and have not filed is he still responsible for the house hold bills

As long as there is no court case pending, or a decision granted in court, you both are still married and have responsibilities to carry on regular life like you guys have or had. The decision to pay the bills and contribute towards the house expenses is an individual owns decision and the actions speak louder than words. If he leaves you stranded, you can use that when you are fighting for alimony in court and have him back-pay anything and everything you can get. Above answer and comments to questions are for general purposes only and does not constitute legal advice or establishes an attorney-client relationship without a signed retainer. Please reach out to an attorney you are comfortable with working and discussing your case in more details.