When is one preferred over the other when searching for nested Divs?
The .find() and .children() methods are similar, except that the latter only travels a single level down the DOM tree.
Source: http://api.jquery.com/children/
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.
find() vs childern() in jQuery
find() – search through the matched elements in all the subsequent level ,All levels down.
children() – search through the matched elements’ child only (single level down).