Let's disassemble a bird. Lay the whole chicken breast side down on your cutting board.
Feel around his (or her) back until you feel the backbone running straight down the middle. I haven't read about any cases of scoliosis in chickens, so it should be straight down the center of the back.
Using kitchen shears or a knife, cut down both sides of the backbone. The bones are pretty thin in this area, so you should be able to cut through with little effort.
Remove the backbone completely and trim off any excess fat around where the tail used to be.
Ok, here's where it's a little tricky the first time. Spread the chicken open and locate the white piece of grissel you see here just to the right of my finger? Cut through it with the knife.
There is a bone starting under that piece of grissel called the keel bone and it runs down the length of the breasts. If you bend the chicken back a little farther, you'll start to see the keel bone poke out between the breasts.
Work your fingers down each side of the keel bone to loosen and then pull it out. See why they call it a keel bone (boat reference..)?
Now you can either leave the chicken flat or cut all the way through where the keel bone used to be to form two half chickens. I prefer to work with two halves, easier to move around the grill.
Now light your grill for a two zone, indirect grilling session. If you are using gas, you've got it easy, just light half of your burners to medium high and leave the other half off (preferably the center burners should be off). For you charcoal folks, pile up a chimney full of charcoal on one side of the grill.
Combine the honey and balsamic vinegar in a bowl and whisk thoroughly to form our glaze.
Generously salt and pepper both sides of your chicken.
Once the grill is ready, place the chicken skin side down on the hot side of the grill. Stay close by, the fat from the skin is going to flare up! When it does, just move your chicken off the flame until the flare up goes out.
Sear the chicken for 5 - 10 minutes (depending on the temperature of your grill). We are looking to crisp up the skin and create a little char, but not burn the entire skin.
Once you are done searing, flip the chicken over skin side up and move the chicken to the cool side of the grill.
Using a mop or brush, baste the chicken with the honey balsamic glaze and close the grill's lid.
We want to keep the grill at as close to 350 as possible and only open the lid to baste the chicken. Just like your oven, the grill looses all of the heat each time you open the lid.
Continue to baste the chicken with the glaze every 10 minutes or so and keep the lid closed in between basting.
Grill the chicken until a thermometer inserted into the deepest part of the breast reads around 160 degrees and the outside skin has darkened.
Hit the chicken with a little more glaze and place on a platter to serve.
Allow the chicken to rest for about 10 minutes before you carve.