Bedminster rhymes with:
buckminster, dunster, edminster, ernster, fenster, finster, ganster, leominster, minster, monster, muenster, munster, spinster, warminster, westminster
buckminster, dunster, edminster, ernster, fenster, finster, ganster, leominster, minster, monster, muenster, munster, spinster, warminster, westminster