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0 sats \ 0 replies \ @028559d218 11 Jun \ parent \ on: Basis of privacy on the Lightning Network lightning
Your best option is coinjoining before you send the UTXO. JoinMarket may help in this situation.
If you're going to use Lightning... you can open a channel with the entire UTXO (to a large/well connected node) and then send all of it (or nearly all of it) because as long as there are intermediate hops between you and the receiver your sender privacy is excellent. The receiver FWIU won't be able to see your pubkey much less any other channels you have open.
That's my understanding at least.