You need a pump that is rated as "high head". Most of the aquarium pumps will not pump water up more than 4-6 feet, and if you have to go to a 2nd story from the basement, you are looking at 20+feet of head.
Depending on how far up you have to pump the water, an aquarium pump might not be strong enough, eg. the Quiet one high head is only rates at 13'. You might have to go with a big pond pump that can handle the height. (Eg a Mag #18 pond pump that is rated at 22' of lift.)
This is a page with flow tables for a variety of popular pumps:
You need a pump with a maximum head height greater than the actual height differential between your tank & storage bin.