d'une famille à l'autre meaning in English

don't call me son

Cuccìa is prepared differently from family to family and in different regions.
La Cuccìa est préparé différemment d'une famille à l'autre et selon les régions.
Though the ceremony varies from family to family, it usually involves the pricking of the trigger finger of the inductee, then dripping blood onto a picture of a saint, typically St. Francis of Assisi or the Virgin Mary, which is then set alight in his hand and kept burning until the inductee has sworn the oath of loyalty to his new "family," e.g., "As this card burns, may my soul burn in Hell if I betray the oath of Omertà," or "As burns this saint, so will burn my soul.
Le serment peut varier d'une famille à l'autre mais généralement l'initié prononce le serment suivant : « As this card burns, may my soul burn in Hell if I betray the oath of Omertà » (Comme cette carte qui brûle, que mon âme aille brûler en enfer si je trahis le serment d'Omertà) ou « As burns this saint, so will burn my soul.