As some already said, getting all the items from the emblem vendors that you need, does indeed help. Don't be a cheapstor (bad enchants, gems...). Know your class well!.
Now, most ICC PuGs require 4/12. Getting the first 4 bosses is quite easy. One way would be to join a freshly made guild. You may not like the people, they might even be retarded, but as long as they can get you the first 'required' achievement, then just suck it up!. Once you have gotten it, feel free to leave!