You don't need particularly powerful binoculars to see plenty of detail on the moon (the best times of the month to look are when the moon is at one of its quarters and there is plenty of cross-light). Galileo was able to make out quite a lot of the moon's surface and his telescope
was considerably inferior in performance to even the cheapest modern binoculars.
If you want to study deep sky, pick out Jupiter's moons, or split easy binary stars like Albireo, you'd need something a bit more upmarket. I use a reasonably good pair of 10x50's - that's about the highest power suitable for the typical user. Anything bigger, you'd probably need a tripod unless you've got exceptionally steady hands.
What you can see also depends on your eyesight. Some people can see far more than others, through the same binoculars. One memorable night, when I and several other amateur astros were congregated in Patrick Moore's back garden, as it happens - while we were waiting our turn at the telescope, I amused myself by trying to pick out the spiral galaxy M33 (the Triangulum galaxy) with my bins
- then I invited the others to have a go. I, and some of the others, could see it. Others could not. That's pretty close to the limit for binocular observation and needs really dark skies. If you're willing to have a go (in the Autumn) I can give you directions...
If you normally wear glasses, particularly those with astigmatic correction (as I do), keep them on and choose a pair of bins with large eye relief. Often they will have rubber cups around the eyepieces which you can fold back.
But certainly, the £1000-plus binoculars are strictly for the 'professional' amateurs like comet-hunters. That hobby needs serious dedication!