While I recommend a 5v 4amp power supply from CPC.co.UK you can use an outdoor lights 5v 4amp supply.
Here is what you should have to start with:
1x gpio header
1x PCB board with chip already on board
3x terminal screws
The chip should already be on the board as it was the best way for posting them, they haven't been soldered but can be although it should work how it is, please ensure the dimple is at bottom as per pic.
Using any method you have to hold board in place start by soldering the gpio header being careful not to melt the chip.
Next solder on the screw terminals ensuring they are the correct way as per picture.
When finished the board should look like this.
Cutting the end off use a multimeter to figure out the wires, on mine the wire with the line down it was positive and the plain black was negative. Strip the ends just enough to screw into the plus and negative connection on the board and place some electrical tape around each wire so if they get pulled to hard or come out they won't short or be exposed. It can be a tight fit so cutting some of the bare wire off might be needed. If attaching a outside light power supply then two good bits of wire will do after you have checked the output and adjusted it with the pot terminal on the unit and a multimeter.
Once done screw the neopixel power to the positive and negative on the board screw terminal called neo. Next screw in the data lead to the screw terminal called data. The NC stands for not connected and does nothing.
Now you are ready to program it. Please look at my Xmas neo lights blog link for more details on coding and demo code.
Or alternatively visit Tony Dicolas excellent write up and code on Adafruit
As usual info and links can be found on my kickstarter