There are several synonyms for the phrase "moved in," depending on the context of its usage. One similar phrase is "settled in," which implies that the person has made themselves comfortable and established a new home. Another synonym is "occupied," which refers to the act of taking possession of a new living space. A more casual phrase is "moved in with," which typically means moving in with a partner or roommate. Lastly, "shifted in" is a less common synonym, but also refers to the physical action of moving items into a new living space. Overall, each synonym brings a slightly different connotation to the phrase "moved in," but they all relate to the act of starting a new chapter in life by transitioning into a new home.