I'll write it out since I'm phone posting.
Nymph Badge
Use Bug types, but specifically those that don't undergo metamorphosis.
>No Badge
Venipede, Kricketune
>1 Badge
Venipede, Nincada, Kricketune
>2 Badges
Whirlipede, Nincada, Kricketune
>3 Badges
Yanma, Whirlipede, Ninjask, Kricketune
>4 Badges
Yanmega, Whirlipede, Ninjask, Kricketune
>5 Badges
Yanmega, Scolipede, Ninjask, Kricketune
>6 Badges
Yanmega, Scolipede, Ninjask, Kricketune, Scyther
>7 Badges
Yanmega, Scolipede, Ninjask, Kricketune, Scizor
>Full Team (Rematch)
Yanmega, Scolipede, Ninjask, Kricketune, Scyther, M-Scizor
>Signature
Scizor
>Partner
Kricketune
>TM
Swords Dance