I see no move to trait, I am assuming you talk about system browser , system browser has no means to move methods. At least not in menus. Move to package is for the class.
I usually just copy paste the method and then remove it from the original. Of course if you want to move more than one then it would be better to just subclass the class.
I dont like the menus of System Browser they are not context sensitive. We need to fix this at some point.
Trait is basically a method that can be shared amongst many classes, so you dont want to mess with traits just yet.