Moving from Joomla to WordPress – old joomla links?

Hi – I’ve done all the work and am ready to release my wordpress site however I’ve been running Joomla for a couple of years and there are tonnes of links on Google etc to the articles on there.

I’ve replicated all of the content onto the wordpress site but what’s the best plan to get google (and googlers!) to the new site rather than the old. If I turn the joomla off entirely then all those links will be dead until google catches up and indexes and refreshes it’s database which won’t be good for traffic so that’s not a good idea. What I’d love is to get Joomla to redirect every page to the equivalent on wordpress, is this possible?