A hand operated fluid dispensers comprised of a sealed flexible reservoir chamber containing a fluid, a flexible pump chamber encased by and drawing fluid from the reservoir, and a pump cycled by external pressure applied through a reservoir wall. This class of simple, inexpensive, disposable dispensers is particularly useful in packaging cosmetics, foodstuffs, and healthcare products. As pocketable dispensers they are popular for dispensing small amounts of stored viscous liquids easily damaged when exposure to the atmosphere, a condition where sealed reservoirs coupled with airless pumps working together successfully prevent such product contamination and deterioration. A method of improved healthcare employing such pump dispensers containing a hand sanitizing fluid is also discussed.