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Welcome to cryptoworld buddy and i would like to say that all the coins been mentioned arent supported on some wallets in this case you would really need up to download its respective wallet if you are really serious on the security of your own coins.If not then exchange wallets should be fine as long those are only on small amounts and if not then better to sacrifice on downloading its wallet.Its very risky when you store up huge sums specially if you dont have access on the private keys.