Your description sounds like nearly a soft field take off technique, which is not a normal everyday technique.
Under normal conditions, no strong cross winds and with a paved runway, I would start out with a slight back pressure as you add power. As the flight controls take effect on the take off run, adjust the back pressure to maintain a constant attitude, nose wheel nearly off the runway and the plane will fly itself off the runway when it's ready.
There's no need to hurry to get the nose wheel off the runway for normal take offs. All that does for you is create large changes in pitch pressures during the take off roll. Once you get farther along in your training and are actually practicing soft and short field take offs, then you can do that.
The key here is to use some finesse in flying a plane.