That’s like me saying you are wrong to recommend a .22 because it would eventually succumb to the end of the world and become useless as pellets dry up, don’t bother wasting your time packing a finite resource, a knife will do everything for you, it will rebuild society!! But as you unwittingly acknowledged, you pack the .22 knowing it will be useful at first and will eventually become nothing more than an ornament you could discard or stash somewhere safely in case you ever come across more ammunition.
I don’t know how much you guys weigh, but ideally the total load you’re carrying should clock in under 1/3rd your body weight. Add to that the fact that you might have to carry the kids for a bit, and you may want to shoot for 1/4 body weight. Since you do have kids I imagine you have a some type of stroller or wagon or some such. Might not be a bad idea to put extra water and consumables in there and tow it instead of carry it. It’ll save you calories, help to keep you from having to carry the kids when little legs get tired, and allow you you to pack a little extra. Shoot for something like a baby jogger though, so it’s at least equal to the same terrain as your kids are.
The Trangia Alcohol Stove is a great addition to it because the Solo Stove makes it more efficient. The nice thing about the Trangia is that it has a screw-on lid so you can put the flame out and carry it with fuel in it so you don’t have to guess exactly how much fuel you’ll need each time. It burns alchohol so I carry 8 ounces of yellow HEET (which is methanol), carried in one of those cheap squirt bottles you find in the travel size section at the grocery store. Don’t get the red HEET (isopropyl), it’s not nearly as good. There are many fuels you can use with it though. Of note is Everclear, which can be used inside without worrying too much about the fumes, and you can drink it *shudder*.
Size – Everyone overestimates how much they’re carrying when they go backpacking (if everyone who claimed to carry a 100 pound pack actually did we’d have thousands of hiker deaths every year in the US alone). But a survival situation is one time when you need to be cold-light-of-day honest about how much you can carry and what that load should be comprised of to give you the best possible chance of survival. As a general rule you shouldn’t carry more than 15 or 20% of your body weight, which for most people will be between 20 and 40 pounds. With this in mind you’ll want to take into consideration the weight of the pack itself (which must be deducted from the total load) and its volume so that you wind up with a bug out backpack that can carry the appropriate amount of supplies.
Gigging (hunting with a multi-pronged spear) is the simplest way to catch anything from snakes to fish. Cut down a sapling of about an inch in diameter, and then split the fat end with a knife (or sharp rock) into four equal sections ten inches down. Push a stick between the tines to spread them apart, then sharpen the points. You’ve got an easy-to-use four-pronged spear. Much easier for catching critters than a single sharp point.