New Project: Fun with Resistors?

So I've got this crazy Idea that when I pick up all of the upcoming ONI miniatures for AT-43 I need to to make all of thier flashing lights actually work. Yeah it's not a terribly original idea but for whatever reason this has sparked my need to play with solder and electricity. As I normally like to do I sucker some poor slob into getting me to try out new techniques on their figures first. So in preparation of working the ONI stuff I'll be wiring up 2 Necron monoliths with LED lights first.

Already have the wiring diagram all finished thanks to the marvelous LEDCALC website. I've identified all of my parts necessary and I'll be putting in an order for the LEDs, resistors, battery connections and switches. I'd like to use a 9v battery to power the whole she-bang but I need to figure out if there is a place I can HIDE the 9 volt battery first. Otherwise I'll need to use a 3 volt Li ion battery. And looking at the numbers that sucker won't even last a full game.

So my plan is to actually document how I go about this. Unfortunately both Monoliths are already pretty much built. But I think I can open them up just enough to run the wires and get the LEDs in place.