Avalon Rockville Centre. BRAND NEW 1- AND 2-bedroom RENTALS in rock-solid, Rockville Centre. Roll out your door and onto the LIRR to tan for work or play. At home, enjoy a gourmet kitchen, full-size washer and dryer, sparkling outdoor swimming pool, state-of-the-art fitness center and BBQ picnic area in this ENERGY STAR Certified community. Walk into town for a cappuccino, foodie fare and nightly recreation. It all rocks! Avalon Rockville Centre.. Rent $2405 - $3780.