It's a human-like race where women are bigger and stronger than men. For the most part, they are matriarchies. Roughly two types of marriages are predominant. In some societies, the man stays with his mother even after marrying a woman. In other societies, the man moves to his wife and her parents. Would that have any influence on whether men had better or worse rights in a society?
I think that you can answer this question by looking at the current real-world situation on Earth.
The status of women depends on two things:
Where the division of labor has the men bringing home all of the food (and money if society has advanced that far), then the women are generally found to be little better off than chattel.
On the other hand, where the men hunt and the women gather (or if the men farm and the women trade), then women have much more status.
So in the case of your race, if the economic contribution of men is is still significant, they will have status; otherwise they will be at the bottom of society.
Another factor in the real-world status of women is the disparity of status among men. History seems to indicate that the biggest strides towards equality of men and women came once the men themselves began to be more equal to each other. In those cases where the women are treated like dirt, the vast majority of men are little better off.
So in your fictitious race, if the women are pretty much equal to each other, the men stand a much better chance of having some status as well; they may not have full equality, but they won't be door mats either. If some women are in power and other women have been reduced to serfs, the men will be reduced as well.
It will probably not make a whole lot of difference whether the bride moves in with her in-laws, or the groom moves in with his; there are other factors which have much more effect on the status of the weaker sex.