Lots of small children find guns in their homes and hurt or kill with them as a consequence. This is an idiotic problem that Americans are tolerating.
It's pretty apparent that being a responsible gun owner doesn't immunize you from this problem. In fact, I don't know precisely what better safeguards would look like. If research on gun-related accidents weren't basically impossible to conduct in the U.S., I might. And I hope that this functional ban on gun-related research is coming to an end.
So, once somebody comes up with a fairly reliable way to keep guns away from kids, I'd like to see parents helped with implementing it. (And even if we just made sure parents comply with current best practices, that's not nothing.) It would be a lot like the way that local police will inspect car seat installations for new parents, but someone trained in safe storage of weapons would come to your house and see if your storage practices are up to snuff. Ideally, these consultations would be paid for by gun manufacturers. And while we're at it, why can't they pay into a fund for research?
Nothing will prevent all accidents, but I think this idea has a significant chance of saving lives, as well as being Constitutional as all get-out.