Bushnell is a reliable brand, and make a bunch of different products for different tastes. Their H2O line is affordable and designed to work well in rain and fog. The "HD" series is expensive and has better coatings for slightly better contrast. 8x25 and 10x42 roof prism models are both good choices. The 8x25 will be more compact and lighter, but still quite usable. The 10x42 will give you a good balance between size and magnification and should have reasonable specs.
The first number (before the 'x') is magnification. You really don't want to go much above 10x unless you're really steady and have some experience with binoculars. Very high magnifications make hand shaking much more annoying, and can make it harder to find the thing you're looking for because the field of view goes down.
The second number is objective lens size, which is the size of the large lens on the far end of the binoculars. Larger sizes bring in more light, which gives more low-light detail, and can allow for a wider field of view, but they make the binoculars bigger and heavier.
If you wear glasses it's very important to have good eye relief. That's the distance (in mm) that your eye can be away from the eyepiece and still have full field of view. That will always be listed on the specifications. 12mm or more is good. Most people with most glasses can get that close, though you may have to press the eyecups directly to your glasses, which can smudge them. Bring a lens cloth with you to deal with that issue if it comes up.
For our upcoming Alaska cruise, we're bringing two Bushnell H2O 8x25's for the kids, an H2O 10x42 for my wife, and I'm trying to choose between a perfectly nice (but heavy) Chinese 7x50 porro prism that we have already and an Legend Ultra HD 10x42 that I'd have to buy, for me. I'm kind of leaning toward the Legends, but probably that's because I want a new pair of binocs.
