I had typed a fairly lengthy article on this at one time, but I'll try to condense it a little here.
First, candlepower is a description of the light at the source. As in, "that lighthouse produces one hundred million candlepower". It is useless in our world of flashlights, as witnessed by the Thor and it's "10,000,000 candlepower".
Second, lumens and footcandles are equivalent. They are the a measurement of the amount of light as it falls on a one square foot surface.
However, there is a problem measuring how much light is produced by a light source. Most light sources are roughly spherical, they might be a little longer in one axis than another, but they throw light off in all directions. Thus, you must measure ALL of that light if you wish to know how many candlepower the light produces, and once again, that figure is useless for us, since we are going to redirect it and lose some of it anyway!
So what measurements mean something, then?
Really only two pertain specifically to our world. Lumen production out the front of the light, basically defined as the total output that comes out of the light, and Lux output, which allows us some measurement of the intensity of that output.
Lux is the measurement of how much light falls on a square meter. By common use, we typically position the source 1 meter from the surface we illuminate, then measure the light with a light meter at its most intense spot, what we call the "hotspot." This creates a false Lux reading since the meter is assuming even distribution of light over a square meter, but the number can be used, judiciously, to compare one hotspot with another.
Is this really the measurement of Lux? No, because generally the area we are measuring is much smaller than one meter! But it gives us an idea of the brightness of the light in comparison to others measured similarly. To be fair, we should state something like this, "the hotspot measured 6 inches in diameter, and had a lux reading of 8000 across the spot." Then when someone says, "hotspot measured 12 inches in diameter and had a lux reading of 8000 across the spot" we would know that though the hotspots were of similar intensity, one lamp was producing MUCH more light than the other, at least in their respective hotspots. (When you add spill in you create a whole new ballgame!)
So the simple answer is this as used in the flashlight world here on CPF:
Lumens are used to measure the total output of a light, Lux is used to measure the intensity of that output at a given spot. However, even that measurement of Lux is somewhat different than the actual scientific definition.
Hope that helps!
Bill