While there are plenty of premium binocular options that are great for stargazing, there are also budget models that offer strong skywatching ability.
The Celestron Skymaster 12×60 binoculars offer a strong 12x magnification and 60mm objective lenses which allows plenty of light to be collected during viewing of faint celestial objects like galaxies and star clusters. They usually retail just over $100 but can be found over 20% cheaper during sales events.
Another budget pair that are great for beginner skywatching are the Celestron Cometron 7×50 binoculars, which offer 7x magnification but have relatively large objective lenses of 50mm. These binoculars are good for getting a wider view of all the night sky has to offer. The Celestron UpClose 10×50 binoculars offer more magnification for closer views and both pairs usually retail under $50.