You've probably gotten your knives by now, but for whatever it's worth, consider this: When I was in Special Forces (many years ago, in the '60s) I first saw a kukri being carried by one of our instructors during survival training. As I recall, it had about an 8" blade and was probably a Gurkha army model from that time period. He used it for everything from popping the wire off boxes dropped by aerial resupply, to cutting vegetation. I was very impressed by its usefulness, but in those days I wanted a tactical knife and ended up buying a Randall #1, which I still have and still love. That SF instructor really liked his khukuri, and what I hear from some of today's Green Berets the khukuri is still considered a great survival knife. So for practical survival in the field in most terrain (especially jungle) I would opt for a khukuri as one of my two knives (I like the idea of carrying at least two knives/tools in the field and do the same) One good choice for a hacking, chopping, and slicing kukri would be a Panawal with about a 10" blade, depending on your personal preference. I wouldn't go much smaller. One this size would be about a pound and a half to two pounds. If weight is a consideration, you might look at an Ang Khola or Sirupate (also spelled Sirupati).
There are many good, smaller knives. What to get depends on what you will be doing with it. If you want a tactical knife, I still like the Randall, but that's high dollar. Anything from a Blackhawk to a Ka-Bar to one of the Buck knives would serve you well. I would stay away from the Swiss Army knives if you expect hard use in the field. They're great and I love them but I've never carried one in the field because they don't (or didn't until recently) lock open, and they lack strength and toughness. I would also avoid double-edged knives, as the extra edge isn't needed, even for fighting, and you are more likely to cut yourself on the double-edge, which is something you want to avoid in any event; especially if you are in a survival situation.
I like Bowie knives, and one of the smaller ones would make a good second knife, but when it comes to chopping and hacking I would rather have a khukuri. I have a 12" + blade Stek Bowie that is a thing of beauty, and very sharp, but it weighs the same as one of the 15" or 16" (overall length) khukuris and doesn't chop nearly as well. It is also a little big for self-defense, in my opinion. The big knives require a whole different style of fighting than ones with 7" or 8" blades or less. Kukris don't work well for stabbing (except maybe for a Sirupate or Kobra), and from what little I know of the knife fighting techniques used by Gurkhas, a good knife fighter with a smaller blade made for fighting could cut most people to pieces who might try the overhand swing on them. Everything about the Gurkha technique seems wrong to me, from the stance to the wide-open swipes, but that may just be my bias, based on the way I was taught to use a knife. I'm not a Gurkha, and they are awesome warriors.
Of all the advice you got from this forum, most of which was pretty good, I like J.D.'s. He made good points. One other thing you might consider getting is one of the multi-tools, such as the SOG Leatherman. If you have room for it in your ready bag it's a real asset. Good luck to you and your family. Kids are great, and certainly worth the sacrifices we sometimes have to make for them.