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. The Coinbase Wallet app is a separate, standalone app that allows users to store, or custody, their own crypto, and explore the decentralized web with a dapp browse.
Securing Bitcoin payments since 2011, Elecrum is one of the most popular Bitcoin wallets. Electrum is fast, secure and easy to use. Electrum's focus is speed and simplicity, with low resource usage. It uses remote servers that handle the most complicated parts of the Bitcoin system, and it allows you to recover your Electrum wallet from a secret phrase.