Here are some ideas:
The Aiello Family -- The In-Laws
The Bransen Family -- Walter and the L's
The Gaghan Family -- Team Precocious
The Godlewski Family -- The Blondes (Team Airhead?)
The Linz Family -- Team Cute Sis
The Paola Family -- The Bickersons
The Rogers Family -- (no idea)
The Schroeder Family -- (no idea)
The Weaver Family -- Team Buggy Wreck
For nicknames, I like "The Blondes" for the Godlewski sisters--that's easier to type than "Godlewski" :)