I would like to know suggestions or wallets that can help mix the coins and we loose track of the chain analysis. I am free to convert my bitcoin to any other currencies and then convert back, even flexible to move coins between exchanges (centralised ones), but what I would not like is to use any mixers or any online exchangers.
Any suggestions / tips?
Note: I hope it is not against the forum policy to discuss this

There are many ways to do that.
You can send your bitcoin to some KYC-free exchange such as hyperliquid for example, then withdrawal some USDC.
You can also send your bitcoins to a mixer, there are many in altcoinstalks, such as:
https://www.altcoinstalks.com/index.php?topic=314446.0https://www.altcoinstalks.com/index.php?topic=312906.0After sending coins to a mixer, you will break the connection between your new coins and the old ones