The battery should be able to handle it, if it's in good shape. You're not going to be running these lights with the engine off, so it is the output of your alternator that will determine how much you can run. Also, keep in mind that you're not likely to have the fog lights and the driving lights on at the same time.

Fog lights are constructed so they have a very wide, but short range, beam. They are then mounted so that they aim at a point lower than your low beam headlights. The putpose is to allow you to see the road under the fog, without the glare of the lights bouncing off of the fog back at you.

Driving lights are constructed to enhance the headlights. They are usually constructed to have a beam width a ilttle tighter than headlights, and they typically have somewhat longer range.

For example, some of the more popular aftermarket fog lights are listed as having a range of 500 feet, while the driving lights are typically listed as having a range of 1500 to 2500 feet. They also make long-range lights that are typically listed as having a range of 4500 to 5500 feet.