In 1945, Moore's purchased a home in Albuquerque, New Mexico. He would live there for the rest of his life with his wife, Julie Chavez, whom he married in 1949. They had seven children together: sons Jamie, Raymond and Tommy, and daughters Pamela Nathan, Kolma Moore, Emily DiLorenzo and Linda Bates. Soon after moving to Albuquerque, he became co-owner and operator of the U Cue Billiards Hall in the City. It was said that hustlers avoided going through Albuquerque just to avoid getting into a money game with Moore.