There are several synonyms for the phrase "person of the house" which can be used interchangeably in different settings. The first alternative term that comes to mind is "head of the household," which emphasizes the person's role as the leader or decision-maker in the family. Another synonym is "master/mistress of the house," which is more traditional and implies a certain level of authority and ownership. "Homeowner," "resident," and "occupant" are other terms that refer to the person living in the property. Lastly, "householder" is a gender-neutral synonym that can be used to describe any individual who is responsible for managing a household.