Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 7 · Samskara Muhurtas
संस्कारमुहूर्ताः
दस्रादितीज्यचंद्रेन्द्रपूषभानि शुभानि च ।चौलकर्मणि हस्तक्षार्त्रीणित्रीणि च विष्णुभात् ॥ ३३७ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 56, verse 337.
The stars Ashvini, Punarvasu, Pushya, Mrigashira, Jyeshtha and Revati are good for the first haircut. So are three stars from Hasta and three from Vishnu's star.
Simple meaning: Good stars for a first haircut: Ashvini, Punarvasu, Pushya, Mrigashira, Jyeshtha, Revati, Hasta, Chitra, Swati, Shravana, Dhanishta, Shatabhisha.
पट्टबंधनचौलान्नप्राशने चोपनायने ।
The birth star is good for these four rites and bad for other rites.
अष्टमे शुद्धिसंयुक्ते शुभलग्ने शुभांशके ।
A clean 8th house, a good rising sign, and the Moon away from the 8th, 6th and 12th help this rite.
धनत्रिकोणकेंद्रस्थैः शुभैस्त्र्यायारिगैः परैः ।
Shave with good planets well placed. Not after oiling, at twilight, on Tuesday, at night, after eating or in battle.