Except you use Bitcoin ATMs which is still not available in many nations or better still ShapeShift, BitQuick, and LocalBitcoins.com, Paxful which will still demand some sought of KYC no matter how much the claim to be anonymous.
There is a good alternative to LocalBitcoins called
LocalCryptos. LocalBitcoins is custodial (I believe). LocalCryptos is a non-custodial P2P marketplace where you don't have to undergo KYC.
Better use a reputable mixer first (if you choose to use the mixer mocacinno suggested then make sure to use the .onion website) then exchange the mixed coins for a privacy coin like montero on a decentralized exchange.
The .onion website is the only one that works currently because the .com version has been taken down. Even if it was online, the TOR browser offers a privacy boost that the clearnet version can't keep up with. You shouldn't be using the .com version if you can do it through TOR.