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

Well you can use a coin join it works and it's quite effective in cleaning coins or alternatively you could use and exchange but that then depends on if the exchange keeps a log of your addresses after a transaction or swap has been completed. Even those mixer use a bridge most times to improve privacy.
Most do coin join , swap then after a while redistribute. It depends on timing and using a privacy coin as a bridge to kill traces.