Let's see... the LCD screen takes six of the Arduino's outputs. Each of the three RGB LEDs takes three outputs, plus one output each for six status LEDs. That brings us to 21 so far, and we haven't even talked about inputs. The Arduino UNO only provides 13 outputs.

We played around a bit and switched to an i2c display, which only needs two outputs. Then by using ws2811 RGB LEDs in-line we can have all three lights on a single output. Perfect!