Well, I wouldn't really consider Charizard a bird Pokemon, but since it is on your list, then sure, use it. Charizard is quite amazing. Use this moveset to destroy the foe:
Hold Item: Salac Berry
Hidden Power Grass/Focus Blast
The strategy here is to use Substitute until you activate the Salac Berry and Charizard's Blaze ability, allowing Flamethrower to do a ton of damage. Dragon Pulse is to deal with Dragon types and HP Grass and Focus Blast are for further type coverage.