The nights of both Eids, i.e. the nights preceding the Days of Eid, are auspicious occasions which should be observed with reverence and worship.
Rasulullah (Sallallaahu Álayhi Wasallam) said that these nights are great occasions of Ibadat and of gaining the proximity and special Mercy of Allah Ta'ala. These holy nights, should therefore not be allowed to pass by in idleness.
Full advantage should be taken of these opportunities by offering obedience and Ibadat unto Allah Ta'ala to the best of our abilities. Istighfaar (seeking forgiveness for sins), Tilaawat (reciting the Quran), Nafl Salaah, Durood, etc. should be profusely offered on these holy nights.