The nice thing about that hobby is nobody else collects them, so I can often pick one up for a dollar.
I grew up with antiques my parents inherited. They were resilient to rough and tumble play. The antiques would hurt you more than you'd hurt it. But with arts stuff, there were strict rules because spilled paint or glue with damage it in a permanent sort of way.
I actually think the very concept of antique is complicit in the problem here. Once upon a time, furniture was furniture, and, while nice old heirloom furniture was still nice old heirloom furniture, we didn't have things like Antiques Roadshow to tell us, "Gee, it's too bad you used that as an actual piece of furniture, because it could have been worth $20,000, but now this and that and the other thing all mean it's worth only about $3,000."
If one is of the perspective that antiques must be carefully preserved at all costs, then owning them might be stressful, especially with young children around.
Personally I think that antiques (and antique furniture in particular) are meant to be lived with. Damage is part of their history, and can almost always be repaired and restored. Sometimes the repair won't be perfect, but that's part of the history for the next owner too. I kind of like that.