In many culture, religion and/or tradition, the first haircut of a baby is considered an important milestone for his/her life. The day is known as Mundan, Chadakarana, Halaqah, Upsherin, etc.
Here is the list of auspicious dates for baby first haircut in year 2016, which is produced based on the Chinese almanac Tong Shu. (Click the image to enlarge)
Bear in mind that although the Tong Shu is a compilation of Chinese astrology and calendaring studies gathering wisdom of thousands of years, we should use it wisely and rationally, but not be too superstitious on it.