Common items and equipment (which is just another kind of common item as far as the DB is concerned) will travel with you.
Scrolls have not traveled with you in the past, but will start doing so as soon as I finish testing and send the advy-related changes live (just another in a long list of ways scrolls have been handled very poorly...).
Unique items will not travel with advies or nobles.
It seems advy emigration is only partially working: My advy has the option to "Choose Realm" now, but when I click the link, I just get a black page. (The toolbar / quickbar, whatever, on the left is still there.)
