Binoculars are a great way to get started in Astronomy, allowing you to see details of the surface of the Moon, sweep across bright nebulae in the night sky, or even hunt for comets.
Binoculars are often referred to by two numbers (10×50, 7X32 and so on) The numbers refer to the magnifying power seen through the eye pieces and the size of the objective lenses (The two big lenses at the front of the binoculars). So a pair of 10×50 binoculars will magnify the view by 10 times and will have objective lenses that are 50mm in diameter.
In general, more powerful binoculars with bigger objective lenses will be heavier to hold.
For astronomy we need to be able to hold our binoculars steady for extended periods of time so either, get a pair that are light enough to hold easily, get a pair that can be fitted to a tripod, or use a shoulder harness to spread the weight of the binoculars across your upper body.
When you hold the binoculars up to your eyes, keep your elbows tucked in to your body to provide a steady platform for observations.
A pair of 7×50, or 10×50 binoculars is a good place to start, they are light enough to hold (try a pair in a shop to confirm) and yet give enough magnification to allow details of the Moon’s surface to be seen.