When it comes to finding synonyms for the phrase "setting house together," there are several options to consider. One alternative might be "cohabitating," which refers to two or more people living together in the same home. Another possibility is "moving in," which describes the act of relocating to a new residence and making it one's own. "Sharing a space" is another phrase that could be used to convey the idea of living together, as is "roommates" or "housemates." Ultimately, the most effective synonym for "setting house together" will depend on the context and the specific relationship between the individuals involved.