Make that two of us. And since they take Bitcoin payments, Put.io has no idea who I am.

Bitcoin isn't anonymous unless you're putting it through a tumbler or transferring it to monero/zcash.

But it isn't one-click non-anonymous like normal payment methods either ;)

You don't have to swim faster than a shark, just faster than the guy next to you. It's harder to trace a bitcoin transaction then a credit card payment, even without a tumbler.

Do you also access their website over Tor? If not then they have your home IP address.

According to their about page[1] the company is based in Turkey which isn't exactly a paragon of consumer privacy protection.

[1]: https://put.io/aboutus

I access them over a public library wifi or starbucks connection and tunnel that through a vpn, and randomize my mac each time I connect.