Hi. I want to have bitcoins on a paper wallet, but how to make it completely anonymous, how to break the link between my name on exchange and the wallet? I don't want the paper wallet to be linked to my identity in any way. Is it possible?
Instead of using centralized exchanges with mandatory kyc, you should use P2P websites like localcryptos.com or decentralized exchanges like Bisq to purchase and exchange your coins.
There is no perfect anonymity and privacy for Bitcoin but you can use several techniques to improve it with something like Coinjoins with Wasabi wallet, and mixing services like
Chipmixer.
There are limitations for coinjoins and you need to have minimum 0.1 BTC for that, but you can send smaller amounts of Bitcoin to Chipmixer, you will then receive chips with private keys, sweep them and send to your paper wallet.