If you want to remain anonymous consider using only decentralized exchanges that offer P2P transactions. If you want to send a transaction through a centralized exchange you should be willing to sacrifice your privacy. Even if you pass through someone the funds would still be traced back to you. These days it is difficult to carry out crypto transactions without centralized exchanges but Bisq is a recommended decentralized exchange if you are considering privacy.
Tell me how can I stay anonymous if I use p2p exchanges on decentralized exchanges or services without KYC?
I either pay money from my bank card or accept money on my bank card.
Even if I use someone else's bank card, it will be a second crime if the first transaction is criminal.
To remain anonymous, you should use only cash and work through couriers.