Should I move my EOS from Binance to Metamask?

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So I have been looking around and found that people have been going to great lengths to make sure they get airdrop tokens. I saw that people have been using Exodus to hold their EOS tokens they buy. On the website, it shows that Exodus is no a recommended wallet. It has Metamask and My Ether Wallet as recommended ones. Since I got into Cryptokitties a while back, I chose to use Metamask (and because the fox is cool). On the Binance website which I buy my EOS, it says that they will transfer stuff themselves. My question is: should I do it myself or let them? I heard that you won't get any airdrop tokens so I don't know what to do. Any advice would be great...