It's time to dig that umbrella out from the depths of your closet after a relatively dry September so far. Rain is set to sweep the New York City area this week, starting Tuesday, according to the National Weather Service. That will be followed by more chances of wet weather for much of Thursday and into the weekend. This month for Central Park, we’re just about an inch [of rain] below normal,” the NWS’ James Tomasini said. “Coming up this week and through the weekend, we’ll have plenty of chances to get some more rain.”