The most common types of wallets for storing cryptocurrencies include desktop wallets, hardware wallets, mobile wallets, and web wallets. Desktop wallets are apps installed on a personal computer that store private keys, allowing access to the digital currency. Hardware wallets are physical devices that store private keys offline and provide a secure way to store cryptocurrencies. Mobile wallets are apps designed specifically for mobile devices that store cryptocurrency keys and facilitate payments on the go. Web wallets are online services that store private keys, allowing users to access their cryptocurrencies from any device with an internet connection.