How to? Driver-side headlight?

take off the grill on the cougar (two screws, one on each side), below the grill screw is the first screw for the headlight, undo that. the second screw is on the top right of the headlight where it attaches to the frame (in plain sight), undo that one. The third is on the bottom of the back of the headlight. You'll see two tork-screws which come out on tabs (those are for adjusting the headlights position) and between them under it you should see the third screw. You don't have to take it out, just loosen it up, there's a tab on the headlight which slides under it. Once those two screws are out and the third is loosened, just pull it out. You might have to pull up on it slightly to get it over the bumper. Just be careful when you take it out not to let it hit the bumper while you detatch the two lights, because it could scratch the paint.

taking the headlights apart to polish the plastic is another story. you may want to ask if there is someone local to you who has painted their headlights, because you'll probably need a little help. You have to take off the plastic weather stripping by popping off the clips. Once that's done there are at least two ways of doing it. One involves putting your headlight in the over (not sure what temperature or for how long) to loosen up the glue so they come apart, or you can do it the way I did and slowly go along the glue line with two or more flathead screwdrivers sticking them in between the two pieces and slowly prying it again. I started at the end that is against the center grill, because the other end with the corner light is thin and more likely to break. Once you have them apart you can take out the amber lens and paint the headlights and eyebrows if you want. This process is only if you plan on polishing the inside of the headlights, which is something I still need to do. The outside and inside of my headlights are just like yours, so I need to do the same process.