I think you're want to hide your privacy, so the best choice is using P2P platform (e.g. bisq, hodl hodl, localbitcoins) and use Bitcoin mixer (e.g. Chipmixer) it will break the tails of your transaction, you'll stay anonymously.
Localbitcoins might not be a good choice since it's a custodial p2p exchanges. They can easily flag off OP's account due to"suspicious transactions" and block his funds and start asking for the proof of the source of Bitcoins. Now you don't want to be in the situation even if you have your Bitcoin stash from 2011.
Bisq, Localcryptos, HodlHodl would be a good choice
@Lucius talks about selling those bitcoins for cash, It's a very good option even for noncustodial p2p platforms as it will eliminate any third party like bank from questioning your source of funds, but the challenge is getting that one trustworthy trader from your country who you can meet to sell off your Bitcoins worth lots of cash.
I have heard stories of bitcoin sellers getting robbed when it comes to bitcoin for cash trades. So be very careful.