It's hard to explain how much of a privilege it is to serve as a Mohel.
For most Jews, there is no question about whether we will circumcise our child. The questions are usually more along the line of where and what time, as the date is usually chosen based on the baby's arrival... on the 8th day of his life (unless there is a medical reason to delay).
The other question, for the non-mohel-father (the mohel father will circumcise his own son) is "who will we have to help us fulfill this mitzvah?" While none of these are guarantees of the direction parents will go, most people who have a relative who is a mohel will typically go to that relative. People who have a friend who is a mohel might go that route as well. Sometimes a set of grandparents will be fond of a particular mohel and they'll do the hiring (and often carrying the financial load) for all of their grandsons.