Rodd,
Though from the one photo you posted I cannot tell exactly what's going on in your garage, what I can say is that to maximize your space, you might consider what is called a high lift garage door (which is basically a set of extension tracks) and then a side mount jack screw door opener. This frees the ceiling from such things as the motor head hanging down, and puts the door very close to the ceiling in the raised position. See the photo for an example, lifted from a search. This is a dual door, high lift setup with side mount jack screw lifts. The high lift tracks are not that costly, and the jack screw side mount lifts are a bit more costly than regular mount units. Of course if you have those springs as shown, best leave it to a pro. They have so much "wound up energy" in them that they can be deadly if you don't know EXACTLY what you are doing with them.
You'll note in the same photo the garage owner has surface mount (presumably LED since that's what is most common these days) luminaires. If you have access above your garage (mine is just dead space) they are easy to wire for. If you have living space above, well quite a bit more difficult and surface mount wiring may be in order.
For those that have pre-wired screw in sockets for lights, old school stuff, well they make some extremely bright and powerful LED conversions that will completely flood your garage with bright white light, fully adjustable with the LED panels on "wings".
What really isn't in order (sorry my home inspector hat is on) is extension cords hanging down and used in a somewhat permanent setup. Doesn't meet code and generally not advised.