The closest supermarket is:


Super Stop & Shop                                                 

154 Westchester Avenue

White Plains, NY


There are a few "shopping malls" located near Purchase:


The Westchester

125 Westchester Ave

White Plains, NY

The Westchester is flanked by Nordstrom's and Neiman Marcus Department Stores


The Galleria Mall

100 Main Street

 White Plains, NY

Macy's and Sear’s Department Stores are located here


The White Plains City Center Mall

237 Martine Avenue

White Plains, NY  

Target Department Store is located here


The Palisades Center

1000 Palisades Center

West Nyack, NY

The Palisades Center is the largest mall in New York State and has a movie complex