You can actually only keep six on you at a time. The rest are stored on a... PC. [ All this time and she's still not sure how that works.

Though speaking off food, she fishes some out of her pack, as well of a small dish that she fills with water, and sets it out for Alun. The Pidgeot quickly ignores them in favor of food. It's been a long flight. ]

Do you have any idea what other sorts of pokémon you're hoping to acquire while you're here?