A busy day is ahead in the neighborhood! New York City Apple Day kicks off at 11 a.m. on Orchard Street. You won’t want to miss the first-ever apple pie eating contest at 2 p.m. A few blocks away, it’s the Hester Street Fair’s Stylist Tent Event, their biggest shopping event of the year. At the 14th Street Y, an Open GREEN House is being held, featuring all sorts of earth-friendly activities. Speaking of the environment, the Lower East Side Ecology Center and Assembly Speaker Sheldon Silver are sponsoring an E-Waste Recycling Day on Delancey Street between Delancey and Forsyth. And finally, the Paul Taylor Dance Company is hosting a free community day, including performances and workshops for both children and adults. So take your pick — there’s something for everyone!