You can safely dump Chrome... allow me to introduce you to Firefox's Save In... extension.
The summary on AMO is well written:
Adds a context menu to save media {image, video, audio, link, selection, page} in user-defined directories relative to the default download location. Save into dynamically named directories. Rules-based download renaming and routing. [emphasis mine]
Voila!
And if you would also like to read a whole article written about the extension, here is a nice one.