If you have the private key for the Exodus address in which you stored the EOS tokens, you can keep them in Exodus and map the address before the EOS mainnet release. You can read this article which contain all the steps to follow ( starting from the STEP 3 ):
https://steemit.com/eos/@sandwich/contributing-to-eos-token-sale-with-myetherwallet-and-contract-inner-workings
It isn't a good practice to leave your coins on exchanges wallets but I think if you send them to some reliable exchanges like Kraken you can expect to receive the EOS tokens on mainnet after third of June.