I had the same choosing problem some years ago, but with VPS. Some of them are really private, hosting in e.g. Moldova, but you cannot really trust them, others will never ask your ID, but you have to pay with your credit card and somehow put a real name and address. The same applucable for domain sellers. You decide where you balance: you trust them completely and they don’t care who you are or you choose where to give up complete privacy. I use Namecheap and Spaceship (basically the same, but cheaper).
I had the same choosing problem some years ago, but with VPS. Some of them are really private, hosting in e.g. Moldova, but you cannot really trust them, others will never ask your ID, but you have to pay with your credit card and somehow put a real name and address. The same applucable for domain sellers. You decide where you balance: you trust them completely and they don’t care who you are or you choose where to give up complete privacy. I use Namecheap and Spaceship (basically the same, but cheaper).