As far as I know, paypal.me hides most of that information, but that’s supposed to only be used between friends and not in the commission of goods or services.
If you’re that concerned about privacy, I’d suggest giving them your bank account number / sort code so that they can put money directly into your account without having to know your address (they can do basically nothing with that information). There are no doubt better services out there for you to use as well rather than Paypal which hides that information for you.