Nice, Stavros. I've been thinking about the same thing; having my current remote inside a jacket pocket and attempting to poke through the fabric to the button is distracting.
Just curious: can you share your experience modeling this? Why Fusion 360? Because it's free? Do you have experience with Solidworks or Blender or other software? If yes, how would you compare 3d modeling in Fusion vs. other modeling software?
As far as I know, Blender isn't parametric, so it's largely unsuitable for doing this kind of work. I would recommend OnShape as a very nice starter CAD program, and it's very very easy (almost trivial) to move on to Fusion afterwards, so my advice would be: If you can get Fusion for free and it runs on your OS, try that. If not, OnShape is a very capable second choice.