I kind of have a thing for optics. I think it may be, partly, because my eyesight isn't good, even with glasses, so being able to see distant objects with clarity is like magic to me. So, I've managed to collect a ridiculous number of scopes and binoculars.
When I'm canoeing, I keep a pair of binoculars around my neck at all times, but I hardly ever take binoculars on hikes because of the weight and bulk. So, I've decided to do something about that. I've ordered some compact binoculars, to see if I'll actually take them on a hike. What I ended up ordering are some Nikon Travelite 12x25 binoculars. Not super high quality, but pretty good.
You can buy really tiny binoculars that fold down small enough to fit in a shirt pocket but, to me, those aren't really functional binoculars. I wanted something good enough that I could/would take them bird watching, and you need pretty good optics for that.
The model I ordered is available in 8x, 10x and the 12x I ordered. More power isn't necessarily better. The higher the power (all else being equal), the darker the image, the narrower the field of view, and the harder it is to hold steady. A good argument could be made for 8x25 being the best option. On the other hand, if it's a bright sunny day and I'm seated on a hill or summit, with my elbows propped on my legs, I could see 12x being pretty fun and helpful.