Westminster Quarter SW1P Timeline News and progress updates from Westminster Quarter new development in SW1P Post a new milestone Westminster Quarter is ready for occupation! The apartments are marketed by JLL with prices starting from £899,000. 18/10/2017 by Buildington Show apartment launch at Westminster Quarter on Thursday 27th April 2017! Apartments in the heart of Westminster - prices from £959,000. - Luxury 1, 2 and 3... 21/04/2017 by Buildington Westminster Quarter is now over 60% sold! 23/07/2015 by Buildington Taylor Wimpey has awarded McAleer & Rushe a £37m contract to build 91 apartments as part of the second phase of its Westminster Quarter on Great Peter Street, SW1.... 03/07/2015 by Buildington