From Rick Bayless's Mexican Kitchen. This turned out some of the tenderest, juiciest chicken I've ever had. It's a great technique for a lightly flavored broth as well as chicken to use in various recipes.
Makes about 1-1/2 pounds poached chicken, about 3 cups shredded.
1 medium white onion, sliced
2 garlic cloves, peeled and roughly chopped
1 teaspoon salt
1 good size (3 pound) chicken, cut into quarters (I used a 5 pound chicken, came out great with same timing)
2 bay leaves
1/4 teaspoon dried marjoram (didn't have it, didn't miss it)
In a large (6-quart) pot, bring 8 cups of water to a boil. (I used 10 cups because of the larger chicken.) Add onion, garlic, carrot, salt and chicken back (if you're lucky enough to have a separated one - I did because I cut up a whole chicken myself), neck, heart and giblets.
Skim off any foam that rises after a minute or two, partially cover and simmer over medium-low for 20 minutes.
Add dark meat quarters, skim again after a couple of minutes, then add bay and marjoram; partially cover and cook over medium heat for 10 minutes.
Add breast quarters, skim when the liquid returns to the simmer; partially cover and cook 13 minutes. Remove pot form heat and let chicken cool for a few minutes in the broth.
Remove breast and leg quarters from broth and set aside Strain broth, discarding solids and spoon off any fat that rises to the top. (Refrigerate broth covered, for up to 5 days or freeze it for up to 3 months. Wait until then to remove fat which will have solidified.)
When the chicken quarters are cool, pull meat off bones in coarse shreds. Meat will keep covered and refrigerated for several days or frozen for a few weeks.