I suggest to use the blockchain and coinbase wallet. These both wallets are really useful to have the fund and for personal banking in wallets mate. Please review about the good wallet according to your wallet and use that.
If you want to private key secured web wallet means you can go with the blockchain wallet and at the same you cannot get the same expectation from the Coinbase they accept the law and rules from the European union or something.
I suggest not to follow what reflector says. Even with all its 'security,' Blockchain(.info) is still a web wallet. The keys are generated online, not securly offline. Coinbase isn't a wallet at all; it is an exchange that allows you to temporarily keep your bitcoin. An example of a good wallet is Electrum, which creates keys locally.