Smaller amounts spread across pubkeys are better for privacy than simply relying on CJ w/ one large UTXO.

With that being said you can also just use LN to spend.

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I think small utxos are better, coinjoin is also good. I guess if you do both, that builds upon eachother. So that sounds quite a good one at the end.

For lightning, it is also not fully private. Better than onchain privacy, but lightning has also its pitfalls. I suggest this site for further information:

https://lightningprivacy.com/en/introduction

Whoever sent you those utxos knows they're yours

I was referring to sending BTC to yourself,

If you're recieving you only really need to CJ once spending / consolidating, if you think the person who sent you those coins is tracking your shit.

Ah I see. I like fat utxos but that's just me 😎

Would you assume an exchange is tracking you? Or a government could use coercion to compel that?

KYC exchanges already know your stack,

Non-KYC, you can just wait to CJ until you need to spend.