I think the EOS wallet in binance is very good and I really believe that EOS has the potential to invest in the future, and EOS will be a coin with a high price.
EOS wallet on exchange ??, don't ever store your assets into an exchange wallet, make your Eos wallet by creating an Eos account and pay some EOS to run Ram because if you don't pay, your wallet account will not be active.
if you have ever created an XLM wallet, the method is almost the same and if you already have an EOS wallet, you can store tokens that are on the EOS network, almost the same as how the tokens work on the Ethereum network.