Which Arduino board should I use?

  1. Don't know, you haven't selected the parts.
  2. Possibly, don't know your skill set(s).
  3. Either arrangement works.

You know this has already been done countless times, right? What is the true purpose here? To learn IOS? Bluetooth? Please elaborate or your goals, I sort of doubt it is to make a remote controlled LED, after all, you can purchase ready made IOS controllable LED RGB light bulbs.