That you're able to isn't much of a belief, the question is whether you should be able to. Yes, you said so explicitly, and I acknowledged it.

But you're, as I said, not justifying it with desert now.

You think you deserve to be able to do as you wish with your money. But why do you deserve that? It can't be because you worked for it, because in giving money to people who didn't work for it (e.g. your kids), you acknowledge that having worked for it isn't important to you. And I guess you think that your kids, too, should be allowed to use the money you give them as they see fit.

Apparently, having the money ("facts on the ground") is sufficient for you to think you should be allowed to do with it as you please. That sounds like might makes right to me...

I'm not condemning you for "sharing your earnings with your family", but I'm certainly condemning your deficient justification for it.

Inherent in a property right is the right to give or trade it to someone else.

If I have property rights over a steak or a measure of rice, I can cook it and share it with my family. Likewise with my house, car, or abstract medium of exchange (money). I don't see that as "might makes right", but rather as "that's inherently what property rights are".

It's easy to imagine countless non-transferable or otherwise limited forms of property, and our societies have always had them, for entirely understandable social reasons (e.g. primogeniture, instituted for social stability reasons). Property rights don't have to be unconditional in my dictionary.

But let's use your dictionary where property rights are always unconditional. In that case, we have never had property rights and it doesn't seem like a good idea to get them!