Bullock’s decision to go with a mohel is more common than one might think—at least if you believe what you read in the Forward.
Back in 2007, the newspaper published a story titled, “Mohels Give Non-Jewish Babies a Slice of Tradition.”
“Although commonly recognized as performers of the brith milah, or Jewish circumcision, an increasing number of mohels are finding themselves handling the rituals for non-Jewish babies,” the Forward reported. The practice, according to one mohel quoted in the story, is “very widespread.”
https://www.jewishvoicesnj.org/articles/sandra-bullock-joins-list-of-non-jewish-bris-parents/
The procedure itself is very brief. The mohel uses a magen or shield to protect the glans and guide the knife. He may use a silver probe to loosen the foreskin before beginning. There are three phases to the procedure: me’ilah, the actual removal of the foreskin; p’riah, the tearing of the genital membrane underneath the foreskin back to the corona; and m’tzitzah–suction–the removal of blood and cleaning of the affected area. In ancient tradition, the mohel would actually suck the blood away; this was believed to have a disinfectant effect. By the 19th century, with the advent of the germ theory of illness, Jews realized that it actually had the opposite effect. Today, a mohel will probably utilize a glass tube and a cotton swab. The mohel will put a sterile bandage on the incision and then the boy is dressed.
>probably
https://www.myjewishlearning.com/article/the-mohel/