Everyone left their own home/homes.
Everybody is going to bring their wife/wifes wives along.
At midnight they are going to get back to their home/homes.
In modern English, everybody is used with their instead of his or her, or his/her.
Everyone left their own home/homes.
Everybody is going to bring their wife/wifes wives along.
At midnight they are going to get back to their home/homes.
As for the nouns, I think either the singular or plural noun can be used.