Would the large storage tank be gravity fed or pumped in? I fail to see where a booster pump would fit in this scenario. If not gravity fed, then a (submersible?) pump in the well controlled by a float switch and protected by a pumptec*. Another (submersible?) pump in or at the storage tank protected as well with a pumptec* or float switch.
* or Cycle Sensor which has better sensitivity adjustment.
One float switch turns off at high level and the other turns off at low level.