I've looked up homemaker, a generic and gender neutral term for house husband, house wife, or a person who stays at home and looks after the family and does house chores, in the Pleco dictionary, but couldn't find such a word. I wonder whether any such word exists in Chinese.
持家者 = 主持家中事務的人
The homemaker = the person who does most of the housework in the family
In my opinion, it doesn't matter it is the wife or the husband or anyone else-- who ever does most of the cleaning and cooking is the homemaker of the family-- If both husband and wife share the housework evenly, they are both 持家者
持家有道 - (good at taking care of the household) is a praise for a good wife
The term 持家 literally means "maintain/ holding the household" which also mean all the responsibility within the household belong to that person including taking care the children.