Flower blooming animation in Cinema 4d is easier than you think. You just have to figure out how to bloom/open your flower inside Cinema 4d. In this quick video I will show a quick way to animate the flower blooming effect. In this tutorial I start with modeling a simple flower, and add deformers to create the animation. Bend deformer is your friend to get the desired effect. After the animation just use cloner to replicate the petals to make a flower. Add a plain effector to randomize the animation.
You can also check flower blooming animation in maya