Here is the official announcement from the Duke and Duchess' website (which has crashed due to high traffic):
THE DUKE AND DUCHESS OF CAMBRIDGE ARE EXPECTING A BABY
Their Royal Highnesses The Duke and Duchess of Cambridge are very pleased to announce that The Duchess of Cambridge is expecting a baby.
The Queen, The Duke of Edinburgh, The Prince of Wales, The Duchess of Cornwall and Prince Harry and members of both families are delighted with the news.
On November 30, 2012, the Duchess of Cambridge paid a visit to her old stomping grounds, St. Andrew's in Berkshire, where she attended school from 1986-1995. In addition to opening the school's new Astroturf field, she met with students and teachers, and gave a speech.
And did you know, when Kate was attending St. Andrew's, a fortune teller predicted she would marry a hansom, rich man named William?! And it was all captured on video! Kate, don't quit your day job....