A Zillow search for a three-bedroom home in the Burlington area these days yields listings with price tags of $700,000 to $800,000. There are homes offered for under $350,000, but they often include euphemisms such as "a great place to showcase your renovation skills!" Several years after state government started spending millions to build apartments, housing of all types remains in very short supply in Chittenden County, according to Burlington-area real estate brokers.