And avoids using a mixer that decides to screw you over, and avoids using a mixer that gets taken down because hey - guess what? That's basically money laundering and the jail time for that sort of thing can be pretty hefty.
Most mixers use CoinJoin, which gives you trustless assurances that you won't lose your money. The worst thing you'll lose is your time.
There is the concern that you'll end up with Bitcoin that's been tainted in one way or another. However, at least some mixing services get coin from miners, so it's clean. And you can check for that in the blockchain.
That's mostly a concern when you're mixing Bitcoin before converting it to meatspace fiat. If you're anonymizing Bitcoin purchased with meatspace fiat, it doesn't matter so much if some is tainted. Or at least, it won't unless tainted coin gets blacklisted.
Just a thought