Ok, so with that how would I go about soldering them together and connecting to the Arduino? I would want a cluster of 7 so could I solder all the same colour pins together and solder a wire to each having four wires that I connect to the Arduino with a resistor on the non colour leg? Or is that a load of BS and I'm talking out my butt.
the 'thing' with Arduinos is..each individual pin can only provide roughly 20-40mA *(most people say 20mA.. 40mA is what some people say is MAX).
that means you can only 'really' drive 1- maybe 2 leds per pin., possibly '3' if you wanted to under drive them a bit, which might be ok to do.. and still have them be bright enough).
but again.. thats only for 1 x RGB led now..
1 pin for red
1 pin for blue
1 pin for green.
if you need more leds, and hence more current than the Arduino can provide.. you need to power them from an external power source (like the one that is powering the Arduino itself)..
and then use an Arduino pin to 'control/toggle' fading/mixing behavior. (same principle as the servos more or less.. as they require more voltage and current than the Arduino can supply.. and hence only uses 1 pin to send out the 'control signal'
There are solutions like Neopixels..and Dot Stars (and maybe other solutions/options). that allow you run a strip of RGB leds (similar to the ones you linked to).. using only 1 or 2 pins from the Arduino.. and powered from a +5v power source (with enough current to drive however many leds you have)..
the problem with Neopixels are that they require very specific timing to use.. (which the library takes care of for you.... BUT.. leaves it MUCH MUCH harder to implement other features/behavior because the Arduino resources are tied up running these Neopixels.)
I have read that the Dot Stars (which are similar to the Neopixels) do not have this requirement and are easier to use... however I have NOT used these myself.. so I dont have any personal experience to comment from.
Also most ALWAYS.. (although the specific set up always mandates what is what).. you need 1 resistor to 1 led.