For distinct prepper food stores that are different from your daily, you also need to make sure you know how to prepare it, that it was preserved OK (wrt bacteria, mold, bug eggs, etc.), that you're storing it OK (rats/mice/bugs can't get into it, wasn't stored near gas cans, not going to be flooded nor have gotten too hot, etc.), that you have everything you need to prepare it under different likely scenarios (e.g., outages of water, electricity, natgas), can prepare it safely (e.g., no flames indoors that could start a fire when emergency services might already be overextended, no generator exhaust getting indoors), that everyone in the household can eat it without immediate health problems, etc.
If I had kids, I'd try a fun camping-at-home weekend, when we pretend we can't use the faucets or power grid, and we have to figure out how to do things in practice. And then do a bit of subtle retrospective, so that the next time goes smoother, but as fun/interesting, without stressing the kids or overemphasizing it. Then, when there's a hurricane or whatever, it's just camping-at-home, going smoother due to prior experience and preparedness, and we can learn related practices by example, like checking on neighbors to make sure they're OK and have the essentials.