BuckinghamBalmoral Apartments for rent in Indianapolis, IN on ForRent.com: (866) 767-3485 - Availability, pricing and special promotions subject to change daily. Buckingham Balmoral Apartments offers historical elegance in the heart of downtown Indianapolis. 1, 2 and 4 bedroom apartment homes are available from $1,075.00month. Located 3 miles to Monument Circle and 3 miles to Broad Ripple, I-65 and I-70. These apartment homes include hardwood floors, modern appliances, large formal dining rooms, garages, washer and dryers, and solariums in select homes. We are a gated community with a fitness facility and tanning. Larger pets are welcome with breed restrictions so call for details. Come by and see the new courtyard fountain and benches. Perfect for relaxing on a summer day.