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, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
There are rights for the wife upon her husband, amongst them is having a separate accommodation as we have explained in Fatwa 84608. It is incumbent upon the husband to provide her with it even through renting it. It is not obligatory on her to live with his family. Living with them mostly causes problems, the thing that can affect the relationship between the wife and her husband.
Amongst the other rights of the wife is spending on her. It is obligatory upon the husband to spend on his wife and children, and it is not permissible for him to neglect that. If he does not do that, then it is permissible for the wife to take it from his property, even without his knowledge. For more benefit, please refer to Fataawa 85012 and 88872.
It is worth mentioning here that if the wife is recalcitrant, she has foregone her right to financial maintenance and accommodation until she obeys her husband. Amongst the forms of her recalcitrance is that she goes out from his house without his permission.
On the other hand, it is not permissible for the husband to desert his wife without legitimate reason. There are guidelines for deserting the wife; so he may desert her when she disobeys him, and he may forsake her in bed and the like. For more benefit, please refer to Fatwa 85402.
If the husband does not ask about his daughter, then he is wrong by doing so. Amongst her rights upon him is to take good care of her, discipline her kindly and the like. We advise you to be keen on reconciliation with him for Allaah The Almighty Says (what means): {And settlement is best.}[Quran 4:128]
You should not give up hope on searching for some wise people who can reconcile between you and him. If settlement occurred, he may give up the idea of having another wife.
Anyway, if he wants to marry and is able to be fair with his wives, he can do that and the first wife should ask for her rights upon him and let him enjoy his rights. For more benefit, refer to Fataawa 95416 and 81469.
It is sufficient in marriage that the husband is religiously committed and of good character, and the conditions of his relatives, i.e. whether they are righteous or not, do not actually matter. It is not obligatory upon him to tell his wife about the real conditions of his relatives, but it is not permissible for him lie to her about that.
Allaah Knows best.