If you have metamsak on your computer, go to EOS.io and scroll down to. GET EOS, Click on "claim eos", then you will be redirected to EOS.IO/distribution. Then, register your EOS tokens. You will need to have about $3 eth for gas fees depending on the amount of eos you have. Then you click on register EOS. You will be given public and private keys. Make sure you SAVE IT!
RE: HOW TO VERIFY IF YOUR EOS TOKENS HAVE BEEN TRANSFERRED TO THE MAINET