We're in a community property state and separated early 2018. My husband pays most bills while I finish grad school. Can I file Separately and him Head of Household?

We live in Texas and I moved out in May 2018 and have separate apartment.  He pays our house and most bills, while I finish graduate school. Can I file married filing separately and he as Head of Household?  Do I need to claim half his income in a community property state?