It’s actually not the kids in the house that makes it less safe, it’s the men (which I am if it matters). Or really just the gun, since suicide rates are way higher as well.

https://time.com/6183881/gun-ownership-risks-at-home/

Spoiler is that most people killed by guns are shot by someone they know who owns a gun. Someone having a bad day/week/year with a gun is way more dangerous that someone without one.

Study findings in one other area were noteworthy: homicides perpetrated by strangers. Homicides of this kind were relatively uncommon in our study population—much less common than deaths perpetrated by the victim’s partner, family members, or friends. But when they happened, people living with gun owners did not experience them less often than people in gun-free homes.

The article later states they were trending toward higher risks in home invasions with guns, but did not have enough to be statistically relevant.