Pokémon FireRed and LeafGreen/Cerulean City

Bike Shop
The Bike Shop is in the southwestern part of Cerulean City.

Trade Poliwhirl
The house next to the Pokémon Center is home to a trader. It's a great deal, too. Simply give a and get the rare. Trading with friends notwithstanding, this is your only opportunity to own this Ice/Psychic Pokémon.

Cerulean City Gym
It's time to get your second badge. Just use Electric or Grass attacks and the five Water type Pokémon here shouldn't be a problem.

Once you have beaten the trainers, you receive the Cascade Badge, TM03 (Water Pulse) and TM 11 (Bubblebeam). The Badge enables you to successfully train and command Pokémon up to Level 30.

You will also be able to use the Cut technique once you have found HM 01(Cut) and taught it to a Pokémon.