Cheap Apartments For Rent In Eatonton Ga . The average home rent in eatonton is $2,579. 2 beds • 1 bath. 106 Whipporwill Ct Eatonton, GA, 31024 Apartments for Rent Zillow from www.zillow.com View photos of affordable apartments, floor plans, amenities and more. Matching rentals near eatonton, ga apartment for rent. 66 apartments rental listings are currently available.