You can't. That would be like me saying that everything could be perfect if we could just eliminate theft and aggression.
Private property is a feature of life. You can't eliminate it just because you want to. All you can do is eliminate "legal" recognition of private property- which all governments do to a great degree (generally in violation of their charters). But private property still exists in spite of that.
Just like the right to own and to carry, whatever kind of weapon you want, wherever you go, in any manner you see fit, openly or concealed, without asking anyone's permission, ever, is a fundamental feature of being human, regardless of "laws" that governments may write and enforce to the contrary. The right still exists; it is just being violated.
So it is with private property.