I'm glad it could help. So much learning to do, indeed.

Take care not to move your BTC elsewhere and come back to BTC too soon with the same amount or via the same way, which could make it easy for someone to trace back your new BTC to the original KYC ones.

In case you decide to take an indirect route, going through a different layer or chain (other than just moving to Bitcoin and making coinjoins or alike), it could be worth (and cheaper) exchanging the BTC on the exchange and withdrawing into the other layer or chain, and after doing some confidential transactions (or whatever mixing strategy you take) go to BTC through atomic swaps (from LTC for example) or some decentralized exchange.