Big Indian Is A Full Convenience Store We are located on the Cattaraugus County Indian Reservation in Irving NY off of Milestrip Road. Our focus is our CUSTOMERS! We make sure we take the extra time to meet your satisfaction from product availability to impressive service! Great LOW prices everyday on fuel as well as our large line of native brand cigarettes and tobacco products. Our recent renovation is complete and we are confident the updates we made are to better serve you. Need something and can't find it- we will try to have it for your next visit with us. There is always something BIG at Big Indian!