When is one preferred over the other when searching for nested Divs?
Find is recursive, where children looks only 1 level deep in the DOM. Check out this: http://blog.ekini.net/2009/03/16/jquery-children-vs-find-which-is-faster/
Note: that is actually references a Stackoverflow post.
Either way, that should help answer your question. If you need to search more than one level use Find, if not use children as it is faster.