How would I go about powering addressable RGB LED light strip? [Arduino Nano]
Would I require anything between the addressable RGB LED strip and the 12v power supply?


A suitable 5V regulator (assuming 5V LED strip)


  Would I require a 1000uF capacitor?


For what? A suitable 5V regulator won't need one. An unsuitable one would be improved by it, but still be unsuitable.