@DireWolfM14 is right. A very good way to hide the traces is to convert to private currencies and then back to Bitcoin.
Beware though, if you buy from a CEX with KYC, it doesn't matter where your coins are at any moment, because the CEX will always know that a person X Y, has bought Z amount of BTC. So, it's true that a specific UTXO can't be linked directly with you, if you 've followed DireWolf's advice, but the knowledge that you have bought and withdrawn Z mount of BTC will always be verifiable.
Like @LoyceV said, your enemy determines your actions.
If the enemy is the government, you should make sure to never use CEXs or services that require KYC. If you have used such services in the past, it's all good, just don't mix them with other funds that you possibly have. Relax, enjoy your Bitcoin and if you wanna be ok, just send the same amount of BTC to the same CEX, sell it and withdraw the FIAT. Then pay taxes on your capital gains and you 're cool.
Moment of honesty:
Let's be honest know... Most people, especially within this forum care about privacy because they want to hide their income from the authorities. They dislike taxes and they don't wanna mess with all the laws that surround cryptocurrencies. I dislike most taxes as well, but tax evasion is illegal and I don't encourage it.
Simultaneously, please trust me on this, it's super tiring and very costly, trying to find privacy doing all that backs and forths with your coins. But, privacy is a must, so you got to do what it takes. Just make sure to remember that if your coins are bought from a CEX, you can hide the traces but not erase the truth.
Privacy, for me, is that a user of this forum can't trace one of my addresses and be able to see how much money I have. It's also that no online scrapper can deterministically scrape my username and find details about my real identity. Or, privacy means that a company that's hiding in the Seychelles, that works in the cryptocurrency sector, won't be able to acquire my personal information...
Privacy for me, isn't avoiding to pay taxes for my income. And once more, I repeat, I dislike most taxes (if not all of them).