I am trying to recreate a car door handle for a school assignment. However, I am stuck on one important feature. I am trying to have a smooth cut between the wrapped drawing on the top surface of the below image and the bottom surfaces. Note, I said surfaces, since the bottom is not one surface.

Is there anyway to do this, or to do something similar? I am not very well experiences in Solidworks. I made what I have so far by basically starting with a wide block in the shape of the side of the door handle and shaving away stuff afterwards, but that method does not work for this. Thanks for the help.