Holders of crypto typically use some form of what can be called a "wallet," and there are a few main features – whether that wallet is connected to the internet, and how much control is directly embedded in the wallet for trades and transfers. There is also the underlying issue of whether a crypto investor uses a third party for custody at all, or maintains total custody and trading control over their holdings.
The standard third-party platform "hot wallet" – think of an offering from a Coinbase or Blockchain.com – is constantly connected to the internet. Cold storage and "cold wallets," on the other hand, include hardware devices (like a USB stick) that holds private keys offline, or even just a seed phrase (a master recovery code, a collection of 12 to 24 words used to recover access to a crypto wallet) on paper/metal. Hardware wallets or offline backups of seed phrases can be used to access crypto when connected to the internet through another device.