Something like this should do:
function cleanLocalStorage() {
for(key in localStorage) {
delete localStorage[key];
}
}
Be careful about using this, though, as the user may have other data stored in localStorage and would probably be pretty ticked if you deleted that. I'd recommend either a) not storing the user's data in localStorage or b) storing the user's account stuff in a single variable, and then clearing that instead of deleting all the keys in localStorage.
Edit: As Lyn pointed out, you'll be good with localStorage.clear(). My previous points still stand, however.