Separate cold wallet for Memecoins?

Hey guys,

I've a fair share of memecoins in my portfolio which I don't know are even worthy enough in the long run or not but I'm not casual enough to let them stay on the exchange. I've been thinking about moving them to my Cypherock X1 but since it's my main wallet I fear if there's any irregularity with any of those tokens, that might mess with my wallet and I can't afford that risk.

Shall I get a new cold wallet for storing memecoins? Anybody else doing something similar or you just leave yours on the exchanges?