Use the noun relocation to describe moving from one place to another, like a family's relocation that forced them to leave behind old friends but gave them the opportunity to make new ones in a different city.
When you look at relocation you notice the word locate, which comes from the Latin word locus, meaning "place." Then look at the affixes — re- means "again" and -ion means "the act of." When you put it all together, relocation means "the act of placing again." If you refer to your relocation, you're describing putting yourself in a new place.