Add to that, send your crypto to changelly (or on other exchange where you can flip to monero, no kyc exchange) and receive monero then repeat the same process.
Do not use Changelly if you don't want to give up details -
https://www.reddit.com/r/Monero/comments/9cqmm2/do_not_use_changelly_they_steal_monero/Even if you do they may decide to help themselves to your riches.
The only time I'd consider alts for full anonymity is when there are proper atomic swaps or truly decentralised exchanges. We're not there yet.