I suggest that you twice before buying compact binoculars for hunting.
Compact binoculars with objective lenses that are closer together than the ocular lenses actually reduce your depth perception. And they general have smaller exit-pupils making them "darker" which isn't really desirable when hunting, especially in early morning or evening. They are good for compactness, primarily. I'm not saying don't buy a set. Just that you will be sacrificing advantages to get to a small package.
Roof-prism and porro-prism are the way to go. Porro-prism will generally give better depth percetion than roof-prisms, because the objective lenses are farther apart. Porros are general brighter than roofs, all other things being equal, becasue there are fewer refractions in porros than in roofs. But porros will be a bit wider than roof, but can be a bit shorter.
In my opinion, keeping the exit pupil a 5 and above is desirable. That will help produce a nice bright picture. Anything above 7 is probably not helpful since the human pupil can't really dilate bigger than 7mm.
8x40s, 7x35s, 6x30s are all give you a 5mm exit pupil. (Going above 5 is going to require a larger objective and will make for a bulkier binoccular.)
I have been hunting with Steiner Military/Marine 6x30s for many year. I think I bought them in the late 80's or very early 90s. 6X is fine, especially in thick woods. They have a very wide field of vision. They are super light, and super quite, rain proof, and are very clear. I'm not sure Steiner still makes them in the Military/Marine line, but I think I've seen them in the Predator line.
In the alternative, I would recommend Kowa 6x30s. I've handled these and the glass is fanatasic, they are light, same big FOV, and water proof. And they are available at a very good price point. In fact, I think Kowa could sell them for more than they do.
https://www.kowaoptic.com/kowa-yf-ii-6x30-porro-prism-binocular