Summary version: I bought the Mac version of Minecraft via credit card. This led to my card being put on a fraud hold, and the company that handled the charge asking me to provide personal and private information via email. Ergo, my recommendation: do not use a credit card to purchase Minecraft.
Updated on Sept 5: Skip to the end to see Skrill's response to my refusal to provide identity theft documents.
Detailed version: Recently, my daughter started playing Minecraft with a friend of hers. At first, the iOS version was all she wanted to use, and she played that for quite a while. But then her friend upgraded to the desktop version, and after some discussion with her and figuring out how she could help pay for it, we agreed to buy the Mac version.
So I went to the Minecraft site, and followed the steps to pay by credit card. When you do so, your payment is handled by a company named Skrill (previously Moneybookers). Googling on either of these will provide some interesting tidbits, such as default opting-in customers to casino partners and their blocking the WikiLeaks donation site. I only wish I had Googled before I purchased. In my defense, it's only noted in a small line at the bottom of the payment screen:
If I had gone my homework ahead of time, I would've switched to PayPal, but I didn't.