Is it permissible for me to compel my wife to host my parents in our home, knowing that she is bothered by their presence and prefers that they move to my brother's house?

A husband does not have the right to compel his wife to live with his parents in the same dwelling, because the wife has the right to a separate and suitable residence. The husband can encourage his wife to be patient with such a situation and explain the reward associated with it. However, if she refuses, then he should still honor his parents and treat them kindly wherever they are, and increase his supplications.