Giuliana and Bill Rancic made a conscious effort to keep the identity of the woman who carried their newborn son, Edward Duke, to term during her pregnancy, but on the October 2 premiere of STYLE's Giuliana & Bill, the proud parents are finally ready to introduce her to the world.

As they adjust to life as first-time parents, the Rancics say they will forever be indebted to Delphine, who was coached in the delivery room by the couple during her four-hour labor.

Telling NBC's TODAY Show that he and his wife of five years "hit the gestational carrier lottery," proud papa Bill cannot say enough about the brunette who helped bring his son into the world. "She's great. She's a very caring woman," he told Us Weekly in May, when then-anonymous Delphine was six months pregnant. "She's giving us a gift and we're going to be eternally grateful."

Check out the clip above to see the Rancics -- and Delphine -- tour the Colorado hospital where she gave birth to baby Edward before Giuliana & Bill premieres October 2 at 8 p.m. (EST) on STYLE.