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Hardware Wallet Security if Computer App (MEW, Ledger, Trezor) is compromised

I have bought a Ledger and Trezor.

I don't want to use My Ether Wallet, it gets hacked! I just want to go from the exchange to the Trezor. But, I have about 15 ALT COINS and I'm reading and hearing I can't use the Trezor/Ledger for all of them?

Is there a better alternative? How are hardware wallets secured against MEW hacks?