Is the mother entitled to custody of her children and to move with them to her family's home, and is the apartment she used to live in her right, given the children's grandfather's rejection of the mother due to her personal characteristics, believing that these characteristics are transmitted through breastfeeding?

A woman is not prohibited from breastfeeding her child, as birth is more impactful in transmitting genetic traits than milk. Custody is a right of the mother unless there is a preventing factor, and her right to custody is not forfeited for the reasons mentioned, as long as she is willing to change. The Sharia judge rules on custody matters in cases of dispute, and whoever is responsible for the child's maintenance must provide housing for both the child and the custodian. It is the right of the child's guardian to be with them for their care, so she (the custodian) does not have the right to reside in a place that prevents the guardian from fulfilling their duties. If the mother's right to custody is established, no one is permitted to take the children from her unless she relinquishes them.