You don't need to move to Nanyang to go to school. Children who move with them attend primary and secondary schools in the central city of Nanyang, and do not need to move their household registration or provide real estate license. As long as you apply for a residence permit and have the conditions to study in the central city, the education departments of the four districts will make overall arrangements according to the principle of relative proximity.
However, it should be noted that according to Nanyang's autumn enrollment policy for primary and secondary schools in 2022, students who want to enter urban schools need to meet the conditions that their household registration address and real estate address are the same, and they must register in the central city to enter the school nearby.