Before a woman lights candles for Yom Tov that falls out on Motzei Shabbos does it say anywhere that she needs to say "HaMavdil" first? (Since the kedushas are different -- on Shabbos it was ossur to light a fire and now it's muter. Although by a normal Motzei Shabbos this is the same situation perhaps there is some difference between a normal Motzei Shabbos and a Yom Tov that falls out on Motzei Shabbos that.)
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The Chayei Adam (2:8:23) address your point and encourages men to teach their wives (who were generally in charge of lighting the candles and were largely uneducated) to recite ברוך המבדיל בין קודש לקודש before lighting the Yom Tov candles on Saturday night.