The family you form with your spouse. All these issues are considered questions of descent. The usual answer to such questions has been to choose one family, one line, and ignore the other. Tracing lineage through one line does produce continuity over time, and it does reduce conflicts over loyalties between kin. Most societies have chosen this solution.
Descent is traced through the male line.
The woman marries and becomes part of her husbands family, as do the children. Children are brought up in their mother's family - with their mother's brother acting as their social father. Property and name are passed through the female's side. No distinctions are made between the wife's and husband's families. Daughters and sons are treated equally in terms of inheritance.