you could keep them in the Exodus wallet and map the Ethereum public key of your wallet to your EOS public key. However, leaving your crypto coins on any wallet other than a cold wallet is very risky. If I were you, I would buy a cold wallet such as Trezor and move the EOS (and any other supported tokens) to it. Trezor supports MyEthereumWallet, so you would simply send your EOS from your Exodus wallet to one of your new Ethereum public addresses that your Trezor wallet will generate. Just remember that if you had previously mapped the EOS tokens that were in your Exodus wallet to the Ethereum address linked to that wallet, you would need to repeat that process after you move them to your MyEthereumWallet which your Trezor wallet would hold the private keys for. If you don't do that, all purchased EOS tokens would still be mapped in that case to your old Exodus wallet and not your new MyEthereumWallet (which Trezor unlocks since the private key of that wallet would be stored on your Trezor device in that case). In other words, your purchased EOS would be mapped to an Ethereum public address that would be pretty much empty in that case, since you have moved your EOS tokens to a new Ethereum address.