To get a perfectly clear broth, I use a paper towel lined sieve. The beauty of using a disposable item such as a paper towel or coffee filter is that you don't need to wash it out like you would a cheesecloth.
Other ingredients to add to your stock include: poblano peppers, fennel, leeks, celery root, turmeric root, bell peppers
Most of the time when I make chicken stock, I cut out the chicken breast, thighs and drumsticks, debone the thighs and drumsticks and reserve the meat for another meal. This way, a whole chicken can turn into 2 meals instead of one.