I have a quick question. I want to light up my room, which is 13ft x 13ft, with bright LEDs. I have looked around at various sites that sell bright LEDs however, I am unsure on what kind to buy. I only need three colors (RGB).
There are a lot of factors in choosing, viewing angle, intensity, wavelength, and size and I want to make sure I'm getting exactly what I need.
Bright LEDs come with power consumptions of 50mW to 50W
The first kind is around 30 cents, the latter $100
So the 50W things are a real bargain 
However you might prefer distributed light over spot light...
The problem with spot light is that you have tremendious heat to lead off
A compromise might be 1W modules, which need 3 volts only (@300mA, in contrast to 50W LEDS which need 24 Volts (@2A)
For an estimation of how many LEDs you need, consider this:
LEDs have a yield of around >40 lumen/Watt
Good bulbs have <20 lumen/Watt
So when you now enlighten your room with - say - 4 x 60 Watt bulbs, you would need 100 W LEDs = 100 x 1Watt modules or 2000 pcs of small 5mm thingies...
I still don't quite understand. I just want a few small LED's to hook up to my arduino and light up my room. When I use them it will be dark and no other lights will be on. I don't need the large bulbs.
But you have some idea of the eventual brightness?
So should it look like a 10 Watt bulb (if such things exist at all)?
In that case you would need 100 of the small ones..
Maybe I misunderstood what you meant by "light up"...
Those small ones are not very efficient, in fact they are closer to bulbs than to LED modules. The impression of "light" by their high light density is amplified by small viewing angles and transparent housing.
There are around 200 brands which differ considerably in their psychological impact. E.g. there is red and super-red, green and true green, warm white and bright white..
What kind of answer did you expect???
I just wanted to know what I kind of LED I should buy, to power from an arduino, that would produce an above average amount of light (compared to the "standard/regular" led).
So there is a simple answer: Buy LEDs advertised as "ultra bright" They have a yield between 5000 and 10000 mcd (which could simpler be said as 5 to 10 cd) depending on the color, and cost 30 to 50 cents each, also depending on the color.
If you prefer RGB you have hardly a choice... they come always in 5mm. Their advantage is that color mixing is quit good, otherwise you might need some "moodlight" tricks with separate LEDs...
I just wanted to know what I kind of LED I should buy, to power from an arduino, that would produce an above average amount of light (compared to the "standard/regular" led).
The Arduino (and the ATMega it is based on) only have enough current sink or drive capability to drive an "average LED." If you want more light than "average" LED drives, you'll need use extra drivers.
Ultra bright LEDs do not need more current .. they are the 50 to 100mW kinds and draw 20 to max 30 mA at 1.5 to 3.5 volts depending on the color.
All "real good" LEDs (often called "modules")go from 1 to (maybe) 100W. They start at 3 Volt 300 mA upto 30 Volt 3A.
But this is not what the OP wants..
Thanks for the information.