Binance has distributed all fork and airdrop tokens so far. I'm sure they will also support forks of Ethereum, but I will keep my Ethereum on Myetherwallet because I prefer to keep my coins in a wallet with a private key. Also, if you want to sell the fork coin quickly, you will have to wait for Binance to list it or open it for withdrawal. In any case, I think a personal wallet would be a better choice.