Now, you've narrowed 6,000 photos down to maybe 2,000. Still a lot of images, but more manageable!
At this point, you only want to look at your Favorites folder.
To make it more organized before saving to your computer, I recommend creating separate folders for specific categories. Let's say you have a LOT of photos of your dog, spring flowers, a special birthday party, or a vacation. To create the folders to break down your Favorites, you simply go in to the Favorites folder, click "Select" at the top of your screen, and then begin clicking on all the images that would fit into a category.