Bitcoin mixers aren't private as the real transaction is in the mix-set somewhere and it is really a matter of time until a determined researcher will find it. Mixers work better the higher number of coin-joins in the mix, and it is better than nothing in that sense, but it gives users a false sense of privacy.

Privacy can be had in obfuscating your Bitcoin by sending them using the Lightning Network. You have your own LN Channel and then send them to yourself routing through as many other channels as possible. Bitcoin cleaned.

https://bitcoinmagazine.com/articles/how-the-lightning-netwo...

Another way is to use ZCoin. Zcoin uses zero knowledge proofs which burns the minted coin and redeems a new coin. SO I convert my 0.5 Bitcoin to Zcoin, the orginal transaction iin Zcoin is burned and new equivalent Zcoin is minted. No trace.

Monero is good but it is now under attack by Chainalysis to crack it on behalf of the IRS.

https://cointelegraph.com/news/chainalysis-and-texas-firm-wi...

When it comes to anonymity from the solutions available; coinjoins, Monero or Zcoin, personally Zcoin seems the most private way to obfuscate one's blockchain trail.