All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
You should obey your husband and travel with him, as this will preserve him from temptations and trials that he would face in those countries.
We advise you and your husband to fear Allah, to abide by His orders, and avoid His prohibitions. Also, as soon as you arrive there, you should get in touch with the Islamic centers and any conservative Muslim families to help one another in righteous deeds and piety. This could be a compensation to the Muslim society which you will miss a lot in that non-Muslim country.
Moreover, you should come back – both of you – as soon as he finishes his studies because staying in non-Muslim countries can have very bad effects on you and your children.
For more benefit on Muslims living in non-Muslim countries, please refer to Fataawa 81142, 86405, 88291, 377986, 81642, 369667, 81464 and 89879.
Know also that the obedience to your husband is given priority over the obedience to your father. So, try to please your father in ways that do not go against obedience to your husband.
Allah knows best.