Regular glass has glare and a green tint. Regular acrylic has glare but no green tint. Textured glass and acrylic will reduce glare but there is a loss of sharpness that gets worse with distance between the glazing and the image. Some textured glass and acrylic is very poor and looks bad at any distance. I am familiar with Cyro textured non-glare acrylic and it is a very good quality with a very minor loss of sharpness that is difficult to detect without an A/B comparison test. The next level is glass or acrylic with anti-reflective coating. The coating is typically very sensitive on glass and requires special care until assembled into the frame. It is also very expensive. Glass with the anti-reflective coating such as TruVue Musuem glass will also have a reduced iron content which reduces the green tint.
Another option for glass or acrylic is UV filter. For glass it is a coating, for acrylic it is built into the acrylic. In both cases the UV filter causes a yellowing or warming effect of the glass or acrylic.
The most economical way to handle reflections is with proper lighting. The lighting should be on the ceiling close to the wall so that you only see the reflection of the lighting is you are well below the image looking up.