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You should do several rounds of coinjoining, ideally some as taker and some as maker. You can use JoinMarket for that.
An alternative is to swap in and out of Lightning Network. For less than 5M sats this is probably cheaper than the coinjoins. Tool: SwapMarket
It's important to understand your threat model and the sources.
0 sats \ 0 replies \ @klk 10h
For the receiver privacy in LN you can use something like https://lnproxy.org/ that's not custodial.
Another option that would be the cheapest is to use a custodial service like coinos to do the LN swapping. But I wouldn't do it for significant amounts tbh.
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