You don't have to hit both buttons at exactly the same time and release both together..
You can press and hold the home button then press and hold the lock button, or vice versa..
I go: press-hold home button, then straight after the "click" press-release the lock button, then after the screen flash, release the home button.
Alternatively, press-hold the lock button, then straight after the "click" press-release the home button, then after the screen flash, release the lock button..
It's not a mad-dash-panic to press them both at exactly the same time, briefly, releasing at exactly the same time.