Step 1: Parts
1. Arduino Uno Rev 3 - Arduino Store
2. RN-XV WIfly Module - Sparkfun
3. 20x4 Serial Enabled LCD - Sparkfun
4. JST jumper cable - Sparkfun
5. A plastic ornament ball (about 5 1/2 inch or 14 cm in diameter) - Hobby stores
6. Power adapter - Adafruit
7. Extension cable - Adafruit
7. Some duct tape, masking tape and spray paint - Hobby stores
Step 2: Assembly
Connect pin 3 of the Wifly to the 3.3v pin on the Arduino. Then connect pin 2 (TX) of the Wifly to pin 9 (RX) on the Arduino and pin 3 (RX) on the Wifly to pin 10 (TX) on the Arduino. Finally, connect pin 10 (GND) to GND on the Arduino.
The easiest way to connect the display to the Arduino is by using a JST cable (see: parts). You can use any JST cable you want, just make sure you don't get fooled by the color of the cables. Red doesn't always mean VDD. In my case (a standard sensor cable) red is signal, yellow is VDD, and black is GND.
In short: connect VDD to 5v, Signal to pin 2 and GND to GND.