Fund an order in any of four coins.
Anubis issues a fresh deposit address per order in whichever of its four coins you choose.
Hold your own coin rather than sending straight from an identity-checked exchange, because the exchange record ties your name to the deposit. Feather or Cake for Monero, Sparrow or Electrum for Bitcoin and Litecoin, a wallet you control for Ethereum. Cake carries a Bitcoin-to-Monero swap if you want to shift into the private coin first.
Open the order, copy the deposit address for your chosen coin, send from your wallet, and wait for confirmations. Keep the on-market balance sized to the order in front of you.