Wiring Considerations for numerous LED's
Since you say you don't want a highly technical solution, then I suggest you simply buy a ready made LED strip. This way you don't have to worry about current limiting (which is absolutely needed), it's done for you.  

eBay sell thousands of these, but probably the best place to get them is Adafruit - their RGB Strips are likely to be half decent (they sell other versions too, have a browse), and they have a good tutorial on using them.  


 

Wiring Diagram 

Below is an example of wiring (from the tutorial above) using an N-Channel power MOSFET such as the STP16NF06 (gate pin 1, drain pin2, source pin 3):