Angelina Jolie und Brad Pitt sind mit Kind und Kegel in Nizza angekommen. ― Angelina Jolie and Brad Pitt have arrived in Nice with the whole family.
Die Israeliten zogen mit Kind und Kegel von Ägypten nach Palästina. ― The Israelites moved from Egypt to Palestine with everyone and everything they had.
mit(“with”) + Kind(“child”) + und(“and”) + Kegel(“illegitimate child”). Hence, the expression originally means "with all [their] legitimate and illegitimate children", i.e. with a large entourage. However, this meaning is inscrutable to the contemporary German speaker because the word Kegel is now obsolete in the aforementioned sense.