The personal property / private property distinction really confuses some people for some reason. Granted, there are also a lot of people who are just assholes and act like clarifying the usage of the terms is just you trying to be "evasive" (I've gotten that response).
I think it's really simple to just say private capital vs. personal property. Gets across the most important issue that we mean by private property and it doesn't come with so much rhetorical baggage.