single vs HOH

so my yearly income was 17,000 (I only work partime) I have 2 kids that I will claim....I live with my boyfriend and he has paid most the bills this year. In the past I have always claimed HOH but this year he paid most of the bills. I would claim single this year. Would he also claim single or head of household? We have one child together but I claim him because I paid for daycare. Can two people that live in the same house both claim single? He doesn't really meet the requirements for HOH.