Put into economic terms "personal property" would be roughly equivalent to consumer goods, whereas "private property" would be equivalent to capital goods.
Consumer goods are generally the final product which gets produced through a production process. Examples would be food, housing, personal transportation.
Capital goods are generally only used for the production of other goods, either consumer goods or other capital goods. Examples would be tools, factories, raw materials.
The combination of labour with the correct capital goods can produce a much higher quantity and quality of goods (consumer or capital) than labour alone. E.g. fishing with a net catches more fish than just with your hands.
RE: What is the difference between personal and private property?