A simple solution: use monero.
1) convert BTC to XMR 2) send XMR to yourself in a second wallet (with the highest anonymous rating) 3) convert back to BTC
I think this way is better than coin-mixing because you are in full control throughout the whole process. If you use all the wallets in a secure environment, you can be assured that everything is safe. With coin-mixers you have to trust that they won't scam you. And I don't like that option.
This relies on a third party to convert BTC to XMR and back for you. I see this no safer than using a mixer. You still have to trust that third party.