Cheap Apartments For Rent In Oakley Ca . Start your free search for cheap apartments today. Low income apartments & housing tax credit (lihtc), accept housing vouchers, california tax credit. Commons Oak Grove Apartments For Rent in Oakley, CA from www.forrent.com An apartment home for rent in this town costs renters from $1,165 to $3,335. At an average age of just over 34, the city's population is younger than most cities in california. A rental apartment unit in oakley costs renters from $1,234 to $3,000.