I'm sure this system using a sump pump will work (provided your power does not go out!) but have you done all you can outside the house first? Does the ground slope away from foundation and do you have a working gutter system with extra long horizontal drainspouts? You might even find that the exterior work can fix your problem completely.

For sure you want to minimize water so you are not on pins and needles every time there is a power outage and your sump pump is not working.