It sounds like a lot of people slip the clutch a pretty considerable amount when taking off quicker than normal. I would suggest not focusing on exactly how you are applying the clutch, but to focus more on the accelerator and to let the clutch out smoothly and consistently (at a constant rate). You may stall it a few times learning this, but once you get used to using the accelerator to keep the car from stalling as you engage the clutch, you can then control how fast you take off by how fast you let out the clutch. The sooner the clutch is fully engaged, the quicker you have taken off and can apply more accelerator.