After you have all 16 badges and you already defeated Red at Mt. Silver, you will go with Prof. Oak, and he will want you to choose you the Pokemon that you want:
Bulbasaur
Squirtle
Charmander
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some trainier on the bike rute
Yes, after you beat Red go talk to Professor Oak and he will give you a choice of Charmander, Bulbasaur, and Squirtle.
There is no way of getting a Charizard in Pokemon Diamond, Pearl or Platinum. You can transfer a Charmander from Fire Red to your copy of Pokemon Diamond, Pearl or Platinum. A Charmander, Charmillion and Charizard can all be found in Pokemon Heartgold and Soulsilver as a wild pokemon.
Terry
you can't find a Charmander, you have to get a Charmander by trading a pokemon to a person that has a Charmander.