We are a commune of inquiring, skeptical, politically centrist, capitalist, anglophile, traditionalist New England Yankee humans, humanoids, and animals with many interests beyond and above politics. Each of us has had a high-school education (or GED), but all had ADD so didn't pay attention very well, especially the dogs. Each one of us does "try my best to be just like I am," and none of us enjoys working for others, including for Maggie, from whom we receive neither a nickel nor a dime. Freedom from nags, cranks, government, do-gooders, control-freaks and idiots is all that we ask for.
10X50 is a bit too much magnification for 90% of birding and for all of sports viewing, but they do have other fun uses, like watching the NoKos watching you across the DMZ.
Lower magnification (ie 7 or at most 8) meets almost all outdoor uses because higher is more than needed and makes it difficult to locate what you're looking for. Larger objective lenses (the second #) admit more light, so they are better for poor lighting conditions. Heavier, too.
Binocular skills are learned by use - those are eye skills. Clarity has to do with lens and prism quality, and that's where the $ comes into the equation.
For long-distance viewing (eg military, nautical, seabirds far off in the water and the like - and certainly for astronomy, you need higher magnification (10X +) and probably larger objective lens but those work best with a binocular or a scope on a mount or tripod.
What is best for watching high-altitude migrating raptors? Some swear by a Zeiss 8X45 or 8X42 with their wide (400 m) FOV (field of view). A wide FOV is desirable for wildlife observation. I have seen that the most experienced and expert wildlife watchers do very well with minimal inexpensive gear, but that's not me.