Whether it’s celebrating the end of 2016 or the start of 2017, there are a number of options for those who want to go out, eat, and party. New Year’s Eve and New Year’s Day at Nick and Toni’s in East Hampton will feature a la carte specials. The restaurant will be open for dinner from 5 to 10 p.m. on New Year’s Eve and for New Year’s Day brunch from 11:30 a.m. to 2:30 p.m. The New Year’s Eve dinner party at the Living Room restaurant at c/o the Maidstone inn in East Hampton will have a Gatsby theme, with a “toast to new beginnings” at midnight.