Best payment method for privacy?
Honestly just go with BTC for your first order, it's not as scary as it sounds. Cash App is dead simple for buying and sending. One thing nobody mentioned — don't use Coinbase, they'll flag crypto sent to vendor addresses and freeze your account fast.
Gift cards are okay if you want extra separation from your bank but you'll lose value on them. Just keep your bitcoin transaction ID handy after you send, in case the vendor needs to verify.
Gift cards work but you lose some value and they're a hassle. I'd just start with BTC honestly, Cash App is the easiest for a first-timer. One heads up though, don't use Coinbase if you care about privacy at all — they're pretty aggressive about tracking. Take a screenshot of your bitcoin transaction ID before you close the app, comes in handy if the vendor asks for proof. Once you do one order it's second nature.