Guys, this is super easy. You only have to add one quick step to the process if you're using Imgur. Make sure you are on the full desktop site, not the mobile version (the desktop site works fine on iPhones and iPads, and I would imagine android devices as well). When you select your pic to upload, check the "edit" box. After the image uploads, it will take you to the editor. Hit the "Advanced" tab, then select the "Blemish" tool. Then run your finger back and forth across any names you want to make unreadable. Then hit save. It only takes a few seconds.
Edit: Here's what it looks like. This literally took seconds, and was all done on Imgur: