Well, anonymous, you can do what I always do and offload them onto your friends and trustworthy-looking trainers.
Edit: My editor has informed me that this is a terrible idea, but I respectfully counter with the fact that all of those eevee, as far as I’m aware, are still alive and happy with the people I’ve given them to.
Should any of us tell him we offloaded his eevee onto other trainers? —Bebe
No, let him live his life. Just add in a note about considering humane pokémon shelters or leaving them with pokémon centers in the tags or something. —LH