Hardware Wallets
Hardware Wallets are those cold wallets that have their independent hardware to store your private key and take them offline when not in use.
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Paper Wallets
Paper Wallets are those crypto wallets whose private keys (or seed phrases) are written on a piece of paper.
Non-Custodial Wallets
A non-custodial wallet is a crypto wallet that gives the user the right to self-custody i.e., the user controls the private keys.