If your JBJ, like the Tunze, can't run a large pump, you'll need a secondary power source for a larger pump as I can't see whatever comes with your unit being able to pump upstairs 10 feet or so.
The Tunze gives this option for a larger pump. Maybe this will give you an idea as to where you have to go. I'm not saying you need to buy this, but this is something like what you will need if your JBJ has a low voltage output.
http://www.jlaquatics.com/product/tz...+3150.110.html