What does it mean to be "accepting"?

I’ve heard numerous claims that people on this often claim to be “accepting” and that this is problematic when they reveal their own personal prejudices and judgments.

I was never under the impression that to be “accepting” it meant you were entirely free of judgments and prejudices. To me those are just natural human inclinations and I’d have a hard time believing someone if they claimed they were free of such things.

So what exactly does it mean to be accepting, to you? Also, what is the difference between “acceptance” and “tolerance”?

I am NOT going to argue against anyone in this thread. This is just for me personally; I want to hear what others have to say.