A pumping apparatus and method incorporates at least one and preferably as many as four components that are configured to improve debris removal capabilities as compared to prior art apparatuses. The apparatus and method impart cyclonic motion to pumped fluid, in a manner that tends to separate entrained solids and other impurities, and further that helps draw solid impurities away from the pump barrel. In a preferred embodiment, a cyclonic effect first occurs in a seat plug having a funnel-shaped accumulator region leading to an interior passage therethrough, and at least one off-center opening extending from the interior passage to the exterior of the plug. In one embodiment, that effect is continued at a plunger adapter that has a plurality of inward-angled rings, and that also features off-center openings through which debris may pass to the interior of the plunger adapter. A top plunger adapter may also be provided, having angled veins and openings therethrough to impart cyclonic motion to the pumped fluid as it exits the interior of the top plunger adapter. Finally, it may also be desired to provide a cage having angled veins, to continue the cyclonic effect on the fluid as it travels northward and into the pump barrel.