Have you caught them all in Pokemon Go? Quite possibly not, some of them are really hard to catch. But you’d probably like to keep the ones that you have caught already so that you need not catch them again and/or so you can keep using the ones you caught and already quite like. Luckily, the upcoming Pokemon Home service will facilitate precisely that, so you can focus on different tasks in your games. Like making them fight, mostly.
Pokemon Home will integrate with the series games on the Switch as well as the Pokemon Bank service and Pokemon Go, allowing you access to trading anywhere in the world so long as you have your phone with you. (And a signal, if that needs to be specified.) So now your monsters will be accessible across a wider suite of games, and you can pretend that the next business-type guy you see with an earpiece swiping at his phone is figuring out how to store his new Rhydon.