Coinbase Wallet is a cryptocurrency wallet and DApp browser controlled by you and only you. This means that the private keys (that represent ownership of the cryptocurrency) for your Wallet are stored directly on your mobile device and not with a centralized exchange like Coinbase.com. You do not need a Coinbase.com account to use Coinbase Wallet.The Electrum wallet has lots of added security features to keep your Bitcoins safe. This makes it one of the most secure software wallets around. That said, it is not as safe as a wallet that rarely comes near an active internet connection (read: cold wallet).