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As I understand it, its privacy by obscurity. There's no search, so unless you share the URL or its discovered, it would be private. That may or may not work for you.

They have a $3/month plan that gives you flickr like features (large uncompressed images, unlimited storage), and an API (free, but no commercial use w/o consent). Looks pretty solid if you're intent on avoiding a large company.

It does strip off the metadata embedded in the picture files, so there is some anonymity added there.

Source: http://www.reddit.com/r/IAmA/comments/9tlwi/im_the_imgur_guy...

i like it. I will give it a try. very thanks!