EOS Tokens will become fixed and not transferable on the Ethereum blockchain which will occur within 23 hours after the end of the final period on June 1, 2018 at 22:59:59 UTC Source.
EOS will then move to its mainnet and intend to challenge Ethereum and other cryptocurrencies.
You need to register your Ethereum wallet address so your EOS can be moved too.
Registration of Ethereum wallet via Myetherwallet
If you keep your EOS in MEW, just follow this simple steps to register it.

Visit the EOS instruction page here and then click on register

Click on Myetherwallet, then GENERATE EOS KEYS It will generate two keys. A public and private keys. You are strongly advised to kep them safe. They will be needed when the mainnet launches.

You have to go to myetherwallet.com and login to your wallet then click the Contracts and select the EOS contribution from the dropdown Select existing contract menu

The empty text area will become populated. Now click on Access

Scroll down to access the Select a function menu. Click on Register.

It pops an empty field for you to input your Ethereum Public Address and then unlock to your wallet.

Click on WRITE and make sure that Amount is set to 0 then generate transaction and you have registered your Ethereum address.
All you have to is just grab a coffee or tea and drink waiting for EOS to moon.