The brit milah (male circumcision) is held on the eighth day of the baby's life, and is frequently held in the morning. The Jewish day begins in the evening of the previous day. For example, if your son was born late Tuesday night, his brit will be schedule for the Wednesday of the following week.

A brit milah is one of those rare Jewish life cycle rituals that can, in fact, on occasion, must, be performed on a Shabbat or festival, even Yom Kippur; eight days is eight days. However, if the brit milah needs to be postponed because of the baby's health, the rescheduled event cannot take place on a Shabbat or festival. If it cannot happen on the eighth day, the timing is no longer considered sufficiently imperative to risk the violations of traditional Shabbat practices that could potentially be involved.

Once your baby boy is born, please contact the Temple office to coordinate your plans for a bris with Rabbi Braun.  The Rabbi and Temple staff are happy recommend mohelim (practitioners who perform the procedure) for your family to choose from.

The mohel will examine the baby to certify that he is healthy enough to undergo the procedure (unless a doctor has decided he is not). If he isn't, it will be postponed to a later date.  As usual in matters of physical health, Judaism takes a cautious approach, and mohalim are generally more strict on this issue than doctors.

Perhaps the first decision you have to make is where to hold the ceremony. There is ample precedent for having a brit milah in the synagogue, in the context of daily morning services, if you so choose. The main argument against using the synagogue rather than your home is that it involves unnecessarily moving the baby around, which may be unsettling for a newborn (and more work for you!), so you may choose to host it there. The mohel can even do the circumcision in the hospital on the eighth day, should there be health considerations that aren't serious enough to postpone the circumcision altogether but which would be helped by this setting. 

(Thanks to George Robinson of myjewishlearning.com for help with this article.)