Coinbase is not really a wallet
There is a coinbase wallet application, which indeed is a mobile wallet.
If you are still using coinbase then its time for you to move to better wallet like electrum for bitcoin or coinomi,jaxx,exodus,trust wallets for multi cryptos storage.
I would definitely not recommend coinomi, jaxx or exodus.
All of these wallets have their own problems. And the developer of jaxx and coinomi are extremely incompetent and had severe vulnerabilities in their wallets without properly acknowledging them.
I'd keep away from those wallets.