Images organization

I searching in the forum but I haven’t found much, and what I found did not help me.
I’m trying to figure out if there’s a quick and easy way to reorganize them into folders or similar more than 5600 images uploaded over the years in my blog.
The most problematic thing is that you just load an image template, this I will end up in the gallery, which I do not need and creates a bit of discomfort when I then insert the new images in the articles.
Not to talk the fact that when I insert images in an article appear to me all the old pictures, making me lose time and not understanding anything of what I need to do.
I try with this plugin, but that has not proved useful for my purpose (I reiterate that are 5600 images), as soon as I try to put an image in an article, however, appear to me all the images previously uploaded.
Thanks for the help