If you have tried using different browsers without success, chalk it up to Trulia (rather "Zulia") making changes to the site once again. You aren't the only one having difficulty over the past two to three weeks.
While I imagine it will be up and running shortly, it doesn't help you if you are searching for a home "now." To that end, find a Realtor in the area you wish to live and have them email (you) a personalized home search with a "live" feed directly from MLS.
To find an agent, use the tab at the top of the page and call (don't email) for assistance.