Been using my Fire HD for a few days now. At home I really don't see much difference in glare from what I remember the original fire having, and about the same as my iPad3. I would say the anti-glare claim by Amazon is just more marketing BS. As long as there is no bright overhead light source to reflect off the screen, then it does okay. A well lit area behind you though can cause your reflection to dominate the screen! Yuk, but that occurs with any glossy, glass screen. You just have to adjust the angle and lighting to get the reflections under control. In a dimly lit room it rocks!
Currently: Kindle Touch, iPhone 5, and iPad 3.