It's "My family and I" if it's the subject: My family and I are going to Paris.It's "my family and me" if it's the direct object: They are visiting my family and me.
Families is the plural of family - it means more than one family, for example: members of all three families came to the party. Family's is the possessive of family - it is used to show that...
when having family time or a familf dinner it brings the whole family closer together and lets eachother know about important events in eachothers life. besides it allows you to get more comfprtable...