Technically you could change the children’s school without the other parent’s consent or knowledge, however we would always recommend that you at least try to come to an agreement with the other parent first before making a decision concerning the children’s education as the Court does not approve of parents who unilaterally make decisions concerning the significant issues concerning the child such as schooling.
Remember, while there are no Custody Orders in place you could change a child’s school, so too could the other parent. What you don’t want to happen is a tit for tat situation occur where the children are constantly being removed from a different school every other day.