Bitcoin transactions are permanently recorded on a public blockchain. Every input, output, address, and amount is visible to anyone. Chain analysis companies like Chainalysis and CipherTrace offer commercial services to governments and exchanges specifically designed to trace Bitcoin flows and link transactions to identities. If your coins ever touched a KYC exchange, that linkage is permanent and recoverable.
Monero works differently at a fundamental level. Ring signatures obscure which input in a transaction actually signed it. Stealth addresses generate a unique one-time address for each transaction, so the recipient's wallet address never appears on the blockchain. RingCT hides transaction amounts. The combined effect is that Monero transactions are unlinkable and untraceable by any method currently available.
AnubizHost accepts Monero for dedicated server payments through the same zero-KYC workflow as Bitcoin. The payment process is identical from your perspective - you send XMR to a payment address and receive your server after confirmation.