If you only plan to trade those currencies and not hold them forever, then you only need an ETH wallet or a Bitcoin wallet, or maybe a few other ones, but not one for every coin you buy and sell. (that would take forever to set up because there are about 1377 cryptos out there right now) To check them out, a good place to look is here: https://coinmarketcap.com/

If there are specific ones you want to hold offline for a very long time, then look into each coin to see if they have paper wallets.