I offer this print, not because it will be useful as is, but instead to share the idea.  The design depends on your own shaving items.  In my case I went back to using safety razors, double edged blades, a brush, and my father's mug.  I used OpenSCAD, design software you can download cost free.  If you're familiar with C or its derivative languages, you can specify the components of your project with text.  If you're new to OpenSCAD, the .SCAD file might help you see how simple shapes can be defined and assembled.  Or just take the idea to one of the mouse-driven designers.  While I don't think the .stl or .gcode files are useful downloads, I included them so that printing time and filament use could be estimated by Printables amazing repository.