According to the Arial we do Kappparot with a chicken. 1 chicken for each person.
Male chicken for a man and a female chicken for a woman. Pregnant woman 3 chickens [1 for her 2 for safek if the child is male or female]
The slaughtering of the chicken should be done Erev Yom Kippur after midnight after selichot.
There are kavvanot that sweeten the judgments of the person. Some people give money to tzedakah and have one male chicken and one female chicken for the whole congregation. This provides atonement for your sins of the past year.
The kapparot is instead of the Seir Haazazel which provides an atonement for the entire nation. Today we do not have the power to do something for the entire Klal Yisrael so therefore we do the kapparot which is atonement for individuals
At King David Kabbalah we will be doing Kapparot according to the Meditations of the Arizal and in the was that the Arizal did it. Please sign your name and we will do it for you too.
Because of all the technical difficulties of actually performing the Kapparot yourself, there are many people who do Pidyon Kapparot, which means that a person gives the value of how much the Kapparot would cost to charity and then they do a prayer that comes instead of Kapparot and are included within the prayers of Yom Kippur.