All good points made here. Responsibility is the key, and understanding that increases with visitors (kids, grandkids). Shouldn't be so, but firearms carry more fascination than the chainsaw, which is a far more dangerous tool, as it is in use more, and usually running when being used. That fascination (even by adults) means you need to lock up your firearm, if not your chainsaw, drill or tablesaw. It's a very personal decision, and I think you get the point that it is a weighty one. But I would still not shy from it, if you are interested. Just know where you are going with the decision, and know it's mandatory to get extensive safety training. I hear politicians compare their thrust to license firearms to getting a car license - and my response is that they should make that harder.
Personally, it's uncomfortable to carry a firearm publicly, because it means never relaxing. Having one in a scabbard on a tractor is better, because it can be secured, and because you probably aren't in a crowd with the tractor. I also doubt if you really need one; my answers were more acedemic than opinion, in an attempt to answer your questions. Good point on the complications having another person with you presents - it's why I recommended the shotgun, but they stll have considerable range.