Is the husband wrong for loving his wife and showing her attention, which provokes the jealousy of his sisters and mother, and should he move to a separate house to avoid family problems?

You are not obligated to equalize your giving between your wife and your sisters. You may give to each of them what you do not give to the other. The obligation towards your wife is financial support (nafaqah), and anything beyond that is an act of kindness. The obligation towards your sisters is financial support according to their needs.

As for living in a separate house, it is permissible if you are capable and if your departure does not lead to harm, such as your sisters being neglected. Otherwise, it is better to remain with them, unless your wife requests a separate house, in which case she has that right.

You should deal with the matter wisely and gently, clarifying that your wife is a trust, and Islam enjoins treating her with kindness, and that this will not be at the expense of your love for your mother and sisters or fulfilling their rights.