The place I get my coal at had a barrel of this at one point for a special orders, if I remember correctly it was a vegetable based oil. The barrel was even labeled specifically that it was for coal. Anyhow I wouldn't suggest using anything petroleum based, you'll probably stink the house up if you put it over all the coal. May even stink quite bad while burning, vegetable oil on the other hand at the most would only smell like you're cooking something so it's not exactly an undesirable smell.
If your bin is inside the house the easiest solution is getting a garden sprayer and dampen the coal you're about use lightly with water. The water will not affect the coal in any way, at the most it might cause some small corrosion issues that for the most part would be inconsequential. Being that my deliveries come directly from the breaker all the coal I deliver is at least damp except in the coldest days of winter.
You would also want to dampen the walls and floor of your bin before delivery as well, most of the dust generated during a delivery is caused by the inital shot of coal hitting the floor of the bin. If the coal is dry that is being delivered lighly spraying the coal coming down the chute with garden hose will help a lot.
Of course if your bin is outside most of these suggestions are really not any good and oil would be your only solution, but again I would suggest looking into vegetable based.