Apartments For Rent Avon Co . Find 153 available apartments for rent in avon neighborhood, denver, co. Census data, there are 2,249 households in avon, co. Featured Properties Hudson Home Group Colorado Real Estate Agents from www.hudsonhomegroupdenver.com You can find a terrific avon, co apartment on a tight budget. Apartments.com has cheap apartments in avon so you can find the perfect affordable rental in your desired location. 930 swift gulch rd, avon, co 81620.