Theres a cool wallet out there. "Jaxx"
It allows you to completely separate from the original bitcoins: all within the wallet. Once you have sent the BTC to the wallet you can use the BTC to buy alternative coins. With the alternative coins you buy new BTC. It adds a couple steps, some time, and theres some small transaction fees. But if you believe that most mixers are scams and that you really do not want your original purchase (maybe in your real ID) connected to your end purchase, its a great tool that you control, that completely breaks from the original blockchain, in our limited understanding.
IPG