Anyway, I think the easiest way to hide this history is just bouncing your mixed BTC from address to address. After a few days of every-now-and-then bounces, I doubt anyone will have a clue. Perhaps this is a tactic also used by mixers?
This tactic would be no match for a standard blockchain analysis tool. They would easily be able to follow that trail of transactions. The key is to use all of the privacy features that some of these new-age mixers present. This includes changing output values to keep any analysis tool from matching up inputs and outputs.
But bouncing transactions around in such a rudimentary way would be highly ineffective.