Why not try the most popular wallets like MetaMask or MyEtherWallet. They support almost every other coin that comes out as ERC20 token. You should be fine with these two wallets as they does not carry your Private keys at all. You can either download the keystone file to open up your wallet or you can just have the private key to access it.
These wallet do not hold private keys so the developers can not access your funds. Put as much as you want and any supported coin that you want. All under single roof.
but i guess he's not talking about erc20 token, given the wallets that he mentioned clearly he's not on erc20 tokens.