I know that in the anime, Ash sends his Pokemon to Professor Oak which basically implies that, if they have a place to go, the Trainer can send them to a different place like a family or something. However, I'm curious on what the default is - Do they just get stored in a Pokemon Center somewhere? I seen some answered questions about Pokemon Centers bringing up a 'Poke Ball Room' and kinda feel like that might be the case.
Also to add on, I think I remember in the anime at some episode, this room existed where Team Rocket tried to steal the entire thing - Rows of Pokeballs and all. If that's the case, what's the exact episode called?
