1Bd 1Ba $1380. Currently located just south of Boston, Avalon Blue Hills is set in a beautiful wooded landscape on the Randolph/Canton line. This is a brand new community offering spacious 1 and 2 bedroom apartments with scenic view, nearby shopping and easy access to Route 128. Avalon Blue Hills is a perfect combination of suburban style and urban convenience. Enjoy great amenities including a resident clubhouse, fitness center and swimming pool. To learn more please email Leasing Team with Avalon Blue Hills or call at (339) 309-0162.