When bubs arrives it is sunnah to call the adhan in her right ear and then Iqamat in the left as soon as possible after the birth.
The placenta and umbilical cord should be treated with respect and buried if possible.
It is mustahab to remove the baby's hair on the 7th day, and silver, equivalent to the weight of the hair should be given in charity.
I am not muslim (or religious at all) but I thought this sounds so lovely.