Personally, I like pithing if I'm just doing one or two.
Turn the chicken on it's back like you're cradling a baby and let it "fall asleep" (it's not actually asleep but in Tonic Immobility, which is a nature designed mechanism for many different kinds of prey animals that allows them to go still and calm when in a stressful situation).
Stroke the chest slowly so they stay calm.
Some people hang the bird immediately upside down with a cone, but some find it easier just to lay them flat on something for the first few times. Which ever you choose, just move slowly so as not to wake the bird up and take your time.
Once it's in position, gently open the beak. Use a long, thin knife and stab up through the roof of the mouth behind the eyes and twist. This destroys the brain.
The bird usually just shudders and goes limp and it never feels or knows a thing. Hang it upside down immediately to drain if it's not upside down already. If you have it on a flat board, but some twine around the feet and just hang it up on a tree.
Just remember to take your time, and keep your head up while you're holding and petting the chicken. Don't sit there and stare at it as it goes still or you're not going to be able to do it.
Just keep in mind that you have a job to do and you're doing it the very best way you can and keep your attention focused on the job.