The best description of potential energy among the provided options is:
"All objects have potential energy stored in their chemical bonds and will have more potential energy when they are positioned above Earth’s surface."
This statement accurately reflects the concept of potential energy in relation to both gravitational potential energy and chemical potential energy. Potential energy can indeed be associated with the position of an object in a gravitational field (such as being elevated above Earth's surface) as well as with the stored energy within chemical bonds.