What is the best way to make it so there is no such thing as a family surname, but instead everyone 'at best' having a patronym, either in the Fathersson/Fathersdaugther/Mothersson/Mothersdaughter, such as many western surnames originally were, or like in Arabic where its "Son of xxx, son of yyy, son of zzz".
And what (if anything) would this lack of surnames change.