The problem on that particular IC is that it's a leadless part, all the connections are on the bottom side. To do it properly you'd need to stencil on some paste and then reflow in an oven. It can be done with an iron but you need a scope, really fine tip, and experience. For my surface mount work here at home I've been using a converted toaster oven with a temperature controller, called a "Controleo" or something similar. Works fine for things as long as there isn't too much thermal mass.

Another thing to consider is the LED itself. Surface mount LED's are hydroscopic, meaning they absorb water from the humidity in the air, and can potentially 'popcorn' if you reflow in an oven with too much water absorbed into the component. Generally LED's are 172 hour exposure parts, so they're not dramatic when it comes to moisture sensitivity, but you'll probably want to bake it at a low temperature to get the moisture out. 60c for a couple days, or 120c for like 6-8 hours.

-Hans