You can observe the moon with your binoculars occasionally. I used a 7x50 binocculars to watch the moon wearing my goggles and the moon seems really bright. You need a camera tripod to solid the binoculars avoiding the tiny adjustment caused by our heartbeat. However, as for the full moon, I think you can directely see it with naked eye instead of your arstronomy facilities. Apart from that, keep it in mind that our eyes are delicate. When the intensive lights flood into our sensitive part of our eyes, because our eyes are dilated to expose this part, our eyes have a lot of work to transform the optical information into the chemical information. They are prone to become exhausted. What is worse, you may not feel pain or other symptoms as dizziness at moment, but your retina have been hurt. Avoid the full moon, or don't do it.