Don't let something like this take away from plans for camping. I wouldn't worry about it. Certainly, bringing a gun along with small children on a camping trip is a MUCH bigger threat than any attacking bear---making that decision could well be one you end up regretting for the rest of your life.
My husband always takes a gun when he goes backpacking.
We have multiple guns in our home and we have two sons. Precautions can be taken.