Need to Shorten Bulk URL's + Fake/Blank referer

There are plenty of ways to shorten URL's and fake or blank the referrer but none that can do both.

I have a long list of URL's I need to shorten and I want them all the hide the referrer as well.

Does anyone know any website, script, software, tool paid or free that I can use?

I appretiate any help. Thanks.