Press L + R + Start + Select to scroll through the available families at the family name entry screen.

Although the manual states that you have to press A + B + Start + Select, to change a family simply pressing Select will have the same effect.

$8,000 - LFHKWP
$12,000 - FFHKPQ
$14,000 - HFHKRQ
$50,000 - DFRQMV
$73,000 - NFHKQX
Maximum - LLLQRX