A few years ago, I geeked out on Binoculars. Especially ones that hit above their weight. I'm not into it as much these days, but there are some things I think you should consider.
My advice is 1) wide field-of-view; 2) lightweight, and 3) less than $200. They will see more stuff, have a more stable sight view, and won't get tired too fast. They will enjoy using them, and it won't cost a fortune when they lose them.
I suggest no more than 8x which provides a wider field of view, and acts more stable/forgiving. Keep weight not much over 16oz. The light weight really helps with stability, and arms won't tire as quickly, making for a more pleasant experience overall. In order to stay at that weight, and still have somewhat of a wide FOV, your objective lens diameter will be ~32ish. You can actually find some pretty good glass at this price point. I've used, and can recommend, these options, all under $200:
Sightron SII Blue Sky 8x32
Nikon Prostaff 7s 8x30
Vortex Diamondback HD 8x32
Celestron Nature DX 8x32
Athlon Argos 8x34
The Sightron Blue Sky are very popular, and well-respected, in the birding community as a good bang for your buck. Also, Celestron at ~$100. are better than the price. Diamondbacks are solid. The ProStaffs are a poor man's version of their Monarch 7, which are excellent. I have a throw-away set of the Athlons that I keep in my truck.
Buy off Amazon and send back the ones you don't like. I'd probably start with the Sightron Blue Sky and the Diamondbacks.
Good luck!