Reading the thread is interesting. Having given you the answer a few months ago, how to increase fitness and explosive power. It does what it says it does on the tin. As all the people who have conducted tests with it say, its a no brainer. . Its all about resistance Training while the 3 energy systems are working more efficientmaking you produce 35% more lactic, yet reducing recovery time by 35%, oh Fact .
I agree with small pecho on this one. If you use the leg press, you're typically only doing partial reps, so while the muscles get stronger, the tendons and ligaments in the knees don't get any work. This can lead to injury.
Personally, I do pistol squats; however, if you are absolutely inclined to lift weights, you could try the rear elevated leg squat or (Bulgarian squat). You could also add weight to your pistol squat. Personally, before adding weight, it's best to work on your mind body connection when you're doing pistol squats and avoid adding weight whenever possible. People need to learn how to control their tension to limit their reps to whatever their program calls for. I like the pistol squat because it works your tendons and ligaments to the full extent, hits the muscles, and also works the stabilizer muscles that you use to balance. I also mix in sissy squats, using mind body tension control, and kettlebell swings which do require weight and work more than just your hips, but concentrate on your posterior. I like kettlebell swings because you can get huge improvement in this hinge motion at a fraction of the weight you would use for deadlifting.