To move and settle in another area or country; to relocate one's residence (a colloquial expression for migrating/relocating).
仕事の都合で家族全員で地方に移り住むことになった。
Due to work, the whole family will move and settle in the countryside.
大学卒業後、東京から札幌に移り住んだ。
After graduating from university, I moved from Tokyo to Sapporo.
多くの移民が新天地に移り住み、コミュニティを作った。
Many immigrants moved to the new land and formed communities.