All depends upon the intended purpose. Neither of your choices is good for serious hunting in my opinion. I carried a pair of compact Nikon 7X20 binoculars for years. They were very clear, and light as a feather, but when you needed them the most, they fell way short.
I'm talking about early in the morning or late in the evening, or in the brush on dark dreary days. They had a less than 3 mm exit pupil which does not transmit enough light under those conditions. The 10x binoculars you are considering would be even worse, and they will be harder to hold steady than a lower powered glass would be. Compacts would be fine if we only hunted at noon on clear days.
Binoculars are often a compromise. When I bought my last pair, I shopped carefully and did a lot of research. I learned that the most critical reviews of binoculars come from birders and bird watching magazines, because all those people do is look long and hard at small details of small creatures in the brush. I decided to go no higher than 8x because they are much easier to hold steady than more powerful glasses. I arbitrarily set a weight limit of 21 ounces which was almost twice as heavy as my Nikon compacts, but much less weight than most very high quality binocs like Zeiss, Lieca, and Swarovski. I just did not wish to hunt all day with 40 ounce glasses around my neck. I wanted excellent optics and lens coatings, and I wanted no less than a 5 mm exit pupil. I also wanted roof prisms because they are more compact. I looked through as many different brands as I could, and would absolutely suggest that you look through anything on a dreary day before you buy it. I returned a set of 8x40 Nikon Monarchs which were highly rated, because they were not as clear as a pair of 1960's vintage Sans and Strieffe 7 x 35 porro prism binoculars I have which fell out of a tree stand and got knocked out of collimation. Most Nikons are now made in China too. I used to really like Nikon, and also have a pair of Nikon porro prism 7 x 50 which are great, but too large and heavy for most hunting.
I ended up buying a pair of 7x36 Swift Eaglet binoculars from B&H Optical in NYC. They meet all of my criteria, and I feel they are the optical equal of binoculars which cost twice as much. I did really like some of the Steiners, but they all had individual focus lenses which are slower to operate while hunting than dual center focus glasses. Swift has some cheaper models, but the better ones are still made in Japan, and their lens quality is right up there with the best in the world for half the cost or less. I got mine for well under the MSRP shown here in Swifts website, and could not be happier with them although I have seen them in excellent condition on e-bay sell for even less.
http://www.swift-sportoptics.com/binoculars.htmlI see Swift has discontinued the Eaglet in 7x36. That's a shame, but maybe someone still has them in stock. Actually, I think 6x would be even better for most hunting. Everyone is sold on power when resolution, light transmission, and optical quality is much more important.