Astronomers have always recognized the usefulness of binoculars for astronomy, but like many other products, tastes and preferences change over the years. There was a time, before the advent of "giant" binoculars, when the 7x50 was standard issue and many a fine old B&L 7x50 waited at the ready next to an astronomer's telescope.
A 7x50 is still a good choice, but in handheld astronomy binos, the move has been toward the 10x50. I suspect, the bigger is better thinking may be one reason. Hey, you can see more with a 10x than a 7x, right? Well, not really. In astronomy, 3x is insignificant as far as detail goes. I'm more of the theory that many of us have dismissed the larger exit pupil of the 7x50 as inconsequential. The larger exit pupil of the 7x50 may deliver brighter images under very dark skies and for very young eyes, but for most of us older, city bound astronomers under light polluted skies, a 10x does just as well and seems to be less affected by light pollution.
One of things I have always liked about astronomy with binoculars is that you don't need an expensive binocular to get started. Here at OpticsPlanet.net, we have many binoculars at $150 or less that will do a nice job. Here's a few that make Joani'e list. All of these 10x50s have the needed features for a good astronomy binocular as far as lens coatings and all offer plenty of eye relief for eyeglass wearers.
Bushnell Legacy 10x50Celestron Oultand LX 10x50Eagle Optics Triumph 10x50 Nikon Action Extreme 10x50Oberwerk 10x50