It is desirable to pray a 2 Rakaat prayers after seeing the moon of the first night of every lunar month. Also give sadqa /charity & Inshallah you will be safe throughout the month.
This prayers is to be prayed exactly like the Morning Prayer, except make following adjustments
1. Make Niyyat of seeing new moon
2. In first Rakaat recite after Surah Hamd (The Opening) recite Surah Ikhlaas (The Purity) 30 times.
3. In the second Rakaat after Surah Hamd (The Opening) recite Surah Qadr (The Night of Decree) 30 times.
4. After Salaam Recite the following:
There is not a "moving creature" in the earth but the sustenance thereof depends on Allah. He knows its habitation and its repository. All is in a manifest Book.
If Allah touches you with affliction, there is none that can relieve there from save He; and if He desires good for you, there is none who can repel His bounty. He makes it available to whom He wills of his bondmen. He is the Oft-forgiving, the Merciful.
Allah will vouchsafe, after hardship, ease.
That which Allah wills (will come to pass)! There is no strength save in Allah.
Allah is sufficient for us! Most Excellent is He in whom we trust!
I confide my cause unto Allah. Verily, Allah is Seer of (His) bondmen,
There is no god save Thou. Be Thou glorified! Verily, I have been a wrongdoer,
My Lord! I am needy of whatever good Thou send down for me.
My Lord! Leave me not alone (childless), though Thou art the best of inheritors
* Source: duas.org