*Your answer is in number 3 below.
1. Going from Shabbat to a normal weeknight we say the normal havdalah, "...Hamavdil bein kodesh l'chol." You can find it in a siddur.
2. Going from Shabbat to chol-hamoed we say the normal havdalah, exactly the same as above.
3. Going from Shabbat to Yom Tov (i.e. when Yom Tov begins Saturday night), havdalah is included in the Yom Tov kiddush. This is the one that concludes with "...Hamavdil bein kodesh l'kodesh." It's different from the normal one in other ways too. Check festival eve kiddush in a siddur. (Found 2 and 3 out at yeshiva.org.il - answered by Rabbi Jonathan Blass)
4. Going from Yom Tov to Shabbat (i.e. when Yom Tov ends on Friday night), there is no havdalah at all. Havdalah is only made when entering a day of lesser holiness, and the Shabbat is holier than all the holidays.
5. When Shabbat and Yom Tov end simultaneously, we say the normal havdalah. (Found 4 and 5 on askmoses.com - answered by Rabbi Naftali Silberberg)
6. Going from Yom Tov to chol-hamoed we say an abridged version of the normal havdalah. We omit the introductory verses which start with "Hinei...", and also omit the spices, and candle. Instead we start with the blessing on the wine, and then go straight to the final paragraph which conlcudes with "...Hamavdil bein kodesh l'chol."
No - Havdalah is the service at the end of Shabbat.
They celebrate Havdalah.
The Sabbath is ended with the Havdalah service.
With the words " ... who separates the holy from the weekly."
Havdalah is the ceremony which marks the end of the Sabbath or a holiday. The ceremony always includes a prayer and the drinking of a cup of wine. At the end of the Sabbath, a blessing is also said on smelling spices or a fragrant plant, and on a candle. You can have a havdalah B'nai Mitzvah service.
The blessings of the Havdalah ceremony mark the end of Shabbat.
Havdalah typically takes place around nightfall on Saturday evening to mark the end of the Jewish Sabbath (Shabbat). The exact time can vary depending on location and time of year, but it is usually within an hour after sunset.
The Havdalah candles symbolizes the end of the sacred period of time known as Shabbat. According to tradition, the Havdalah candle also represents the gift of fire, which God gave to Adam one day after He created him.
Havdalah is the ceremony which marks the conclusion of the Jewish Sabbath. You can find more information at http://www.answers.com/topic/havdalah
Separation. It usually refers to the blessings marking the end of the Sabbath or Jewish festivals.
During the havdalah ceremony, the person leading it recites special blessings over wine, spices, and a braided candle. The purpose of havdalah is to mark the end of Shabbat and separate the holy day from the rest of the week. The fragrant spices are included to revive the soul after the departure of the extra soul traditionally said to accompany Jews during Shabbat.
The cast of Havdalah - 2010 includes: Pesach Stadlin Yoni Stadlin