Fund an order without tying your name to it.
Awazon issues a fresh deposit address per order, so the bookkeeping is handled.
Hold your own coin in Feather or Cake for Monero, or Sparrow or Electrum for Bitcoin, rather than sending straight from an identity-checked exchange. Cake carries a Bitcoin-to-Monero swap if you want to move into the private coin first.
Open the order, copy the deposit address, send from your wallet, and wait for confirmations. Keep the on-market balance sized to the order in front of you.
Awazon