The Amityville Public Library is offering a trip by coach bus out east to the Patchogue Theater for a 4 p.m. performance of La Cage Aux Folles, the Musical. On the way to the show the group will first have a four-course luncheon at the Bellport Country Club, including appetizer, salad, entree, dessert, coffee or tea. The bus will depart the Library 11:45 a.m. sharp. A fee of $93 for all is due upon sign-up by either c heck or money order made payable to the Amityville Public Library.