For 3D modeling (CAD) we recommend Autodesk Fusion 360 which is free to use for hobbyists and small startups. Just start out with a trial and the sign up has a non-commercial user after 30 days.
For drawing vector graphics you can use the sketch functionality in Fusion 360 or you can use Inkscape which is also free.
For 3D-printing on the new Prusa printers we recommend using Prusa Slic3r.
For CNC machining (CAM) you can use the CAM functionality in Fusion 360, the free online program Inventables Easel or Vectric Vcarve. Fablab Nordvest has a license to Vcarve. There is a note on the notice board with instructions on how to access the Vcarve license.