Is the ceiling poured concrete or something like plaster? What's above it? How high is the ceiling? If you use a drop ceiling, will you like the look and can you stand the lower ceiling height? A lot of the dropped ceilings look very industrial or office building like. There are some that aren't too bad (IMHO), but not sure what's available where you live. If you want something like recessed can lights, they need at least 6" for a small one, and more for a larger one. If you go with flourescents, those again look more office building than home. The smaller cans would require more of them to get even lighting...larger ones spread the light out more so you can use fewer. All of these lights can add heat to the room, and with the lower ceiling might be an issue as well. High ceilings help in more ways than one.
If the ceiling is not monolithic, but just a covering, regardless of the material, you could cut an opening for a light assuming there's a hollow there between the ceiling and whatever's above. But if it is structural, obviously, it should not be cut into.
Whomever you have install the ceiling, the first step on a dropped one is to put up the grid, then, the panels just drop into place into the grid.
Another choice may be to build a structure and then use drywall on it for the ceiling. You'd need all of the wiring done before the drywall is installed. The drywall could be textured if you prefer and then painted any color you prefer. A nicer technique is to use blueboard, then skim coat it with plaster, either with a smooth coat or textured. I think this give a superior look, but takes skill to do well, especially on a ceiling. If the talent is available, it is nice, otherwise, plain drywall works as well. It's harder to hide the screwholes and seams, but a pro does it in his sleep.