All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
We have previously clarified in Fatwa 89647 that it is the mother who has the right of fostering the children in principle but the father is more appropriate to foster his children when the mother intends to travel or when the father wants to travel. Of course, this is provided that the child is safe from being subjected to corruption by staying with his father and safe from being in a corrupt environment. If it is feared that the child would be spoilt and the mother wants to travel to another place where the religion and morals of the child would be safe and protected, then there is no harm for her to take him with her, Inshaa' Allaah.
In our view, you should consult the trustworthy brothers running the Islamic centres, and we believe that they will guide you to what is best.
Allaah Knows best.