Generally go to a place with a rule you like then go to a place you want to spread it to. Usually the opponent will suggest playing with a mix of both rules. After a few rounds one of the rules is randomly discarded. With luck, it'll be the one you wanted to get rid of.

I dislike Same and Wall but I can still win enough times for it to not to be a game breaker. I hate Random, so that's the one I try to get rid of.

On a side note once you get a card type, it adds toward the completion % regardless of whether it remains in your inventory. You can refine and win replacement rare cards from the CQ on disc 4. I'm a hoarder, so I usually only refine rare cards when on disc 4.