Bitcoin wallet stores a collection of bitcoin private keys. Typically, the wallet is password- or otherwise protected from unauthorized access. A Bitcoin wallet is controlled solely by its owner, not distributed and shared like blockchain technology.
Coinbase: Good Overall. Though sometimes they freeze account.
Trezor: Best for Hardware Wallet for Security. I'm personally use it.
Ledger: Best Hardware Wallet for Durability.
SoFi: Best for Beginners.
Robinhood: Best for Free Buying and Selling.
Mycelium: Best for Mobile Users.
Now it's your choice.
Exodus: Best for Desktop.