The first step to anonymous hosting is obtaining cryptocurrency without creating an identity link. Monero (XMR) is the ideal choice because its blockchain is private by default - even if you buy Monero on a KYC exchange and then transfer it, the subsequent transactions are untraceable.
Peer-to-peer exchanges: Platforms like Haveno (decentralized, no KYC) allow you to buy Monero or Bitcoin directly from other users. Pay with cash by mail, cash deposit, or gift cards to avoid linking your bank account. Always access these platforms through Tor.
Bitcoin ATMs: Many Bitcoin ATMs accept cash without ID verification for small transactions (limits vary by jurisdiction). After purchasing Bitcoin at an ATM, use an atomic swap service to convert to Monero for privacy. Access swap services through Tor Browser.
Mining: If you have computing resources, mining Monero generates coins with no identity link whatsoever. While not practical for large amounts, mining a small amount of XMR on Tor-connected mining pools is the most anonymous acquisition method possible.