This article seeks to introduce a more complex understanding of family change in Israel, through the case study of Israeli blended families. Going beyond the research on blended families in Israel and elsewhere, we wish to focus our analysis on how blended families are displayed in contemporary Israeli society. The analytical stress on displaying enables us to discern the fluidity and creativity in contemporary family life in Israel, as well as the boundary work through which family members present their family, to themselves and to other audiences. By analyzing data from over 40 in-depth interviews with parents who formed a blended family unit, we argue that family members embody a fuzzy mindset, which does not confine to a state of either/or, and at the same time negotiates traditional nuclear models of the “natural” family inherent in Israeli society.