All transactions are public because the blockchain is public and everyone has insight into every transaction that has ever happened and will happen in the future. Given that most centralized exchanges have KYC, and that there are many companies that analyze the blockchain, it is not surprising that it is very difficult to remain anonymous if you use Bitcoin the way most do. In addition, it is a well-known fact that some top secret agencies were working on detecting and analyzing bitcoin users even 10 years ago, and for that they used very specialized tools.


One of the ways is to use DEX (decentralized crypto exchanges - example Bisq) where there is no KYC, or to trade with people live (which is still a risk), or to try to find a crypto ATM that does not ask for any information about you (the downside of such trading is a large fee).


I know that there are some CEXs that do not require KYC up to a certain amount for withdrawal, but you must know that at any moment they can block you for any reason and ask you to verify yourself. There are some specific crypto exchanges in Europe where you can trade without KYC (physical stores), but this is still an exception that can be canceled at any time.

because blockchain is transparent everyone and anyone with internet can see you bitcoin transactions, so when you or a robber stole bitcoin , authorities are able to track coins where  the coins are moving and, when they transfered to an centralised exchange they can determine who is owner of this address

you can avoid this by coins mixing many sites offer coin mixing services , there you can mix you coins and authorities will get confused because of many small transactions.

Many stolen coins are mixed daily ,

And bybit is exchange where you can trade without KYC but for a certain limit

you can use decentralised exchange instead
 

Most bitcoiners can't ever be anonymous because they use and only know of centralized exchanges, and before they know that they can trade in a decentralized way, they have already given away all of their privacy to many centralized exchanges and services. Most newbies to bitcoin are introduced to centralized exchanges first before anything else, so they don't even care about privacy from the beginning of their BTC journey. I think to remain anonymous a BTC user has to first value privacy and use decentralized exchanges or trade directly with people they trust, doing this helps, and unless the government is specifically looking for you, which is rare, you may remain anonymous.

1. Atleast somewhere today you must have done a KYC in your wallet which means some place has your real identity disclosed. Now if the bitcoin you hold transfer from that account or wallet for just once only government will be able to establish a trail easily.
2. Don't transfer funds to any KYC wallet
3. I think Kucoin still doesn't require any ID but it's only until 1 btc per day I think so more than that you'll have to give ID on every centralized exchange.

Bitcoin is a public ledger. Anybody can track bitcoins.

The hard part is knowing the owner of the coins and that's a job for the police. Also, exchanges are going big on KYC lately and that's making the cops' job easier. If you mine your coins yourself, nobody can possibly know that you have any bitcoins. If you somehow purchased your coins from an exchange or some other person than they will know about you if they want to.

That's why people say bitcoin is semi-anonymous.

If you want full anonymity then use monero.

If you click on the site now, you will see this:


No Localcryptos again.

One way authorities can track bitcoins is through analyzing the blockchain, the public ledger of all bitcoin transactions. By tracing the flow of funds through different addresses, it is possible to identify patterns that may indicate illegal activity. Additionally, some exchanges and other bitcoin-related companies may be required to comply with government regulations and share transaction data with authorities.

To maintain anonymity while trading bitcoins, you can use a mix of different methods such as using a VPN or Tor to hide your IP address, using a new address for each transaction, and using decentralized exchanges that do not require personal information.

Some decentralized exchanges do not require personal information or ID to trade, but the trade-off is that they may have lower trading volumes and less liquidity compared to centralized exchanges. Additionally, there are some centralized exchanges that claim to provide greater privacy, but it is important to do your own research and be aware of the risks.

1. Bitcoin is not a privacy coins so it natural for others to track anyone's transaction especially if the transaction is published in public and the address is connected to a centralized exchanges.  Remember bitcoin does not offer full anonymity but a pseudo-anonymity.

The government are able to track the transaction because they have the authority to make a request to centralized exchanges in order to uncover a certain public key if it is found out to be connected to a centralized exchange.

2.  We can use p2p or decentralized exchanges and never connect our Bitcoin to any platform the we have our identity on it.

3.  P2P as stated can do, also decentralized exchanges.

Well authorities has been seeking help of blockchain analysis companies like,

a: https://www.chainalysis.com/
b: https://ciphertrace.com/

You can used Decentralized exchange, or P2P

I don't think that there are Centralized exchange that will not require you to do KYC with large quantities. They are mandated by authorities now to ask for personal information.