The New York Baby service, founded by Stephanie Heintzeler, explains its process for matching clients with doulas and night nannies. Upon receiving an inquiry, the service checks the availability of professionals. Matching is done based on the client's zip code, the doula's location, and the specific services required, such as overnights, live-in care, birth doula support, or postpartum doula services for days or nights. The aim is to ensure a suitable match, allowing clients to interview several professionals. The service offers support for pregnancy, birth, and postpartum periods.