LARCHMONT, N.Y. — D’Agostino’s here said Monday its revamped website, dagnyc.com, will launch May 15 offering online shoppers the same experience they can get in D’Agostino stores. The company in a release said orders would be picked from local store shelves and delivered within three hours, and that customers will be able to get “emergency orders” within an hour for an additional charge. The site, to be operated by mywebgrocer.com, will be easier to navigate and offer interactive features such as recipes, D’Agostino’s said.