As long as you have your Etheruem address registered with the smart contract on Eth network, the tokens will be 'transferred' for you and more importantly you will receive all the airdrops that are currently happening. Most exchanges will honor the mainnet swap but NOT the airdrops.
Here is a link on how to use the exodus wallet with a 1-click registration process.
https://steemit.com/eos/@aclarkuk82/eos-registration-how-and-why
RE: URGENT: are your EOS chips safe?