The warm-up portion of these workouts is important, so don't skip it. I know you may feel silly at first doing some of the exercises, but the series will be a much better warm-up than 5 minutes on the treadmill or elliptical machine.
Each warm-up exercise will help prepare your muscles for the work they're about to do. Plus, they will help increase your mobility so you're better prepared to move your body through full ranges of motion at multiple angles.
Once you finish the resistance-training portion of this workout, do the conditioning. It'll be quick, so go hard and make it effective.