Bear with me, because this is probably going to be the most awful yet effective thing you've ever heard of.
Whenever you download an image, just leave it on your desktop
Leave literally everything on your desktop
until it gets to a point where you can't stand it anymore
Open your desktop in file explorer and search in Current Folder for .pngs, .jpgs, and the like
drag everything into a new folder called ",Alpha" and put it on whatever drive you feel like
The comma is important so that it always appears first in results on your computer
When your desktop gets cluttered, just dump everything into ,Alpha
Repeat until ,Alpha has maybe 300-400 items
Once your desktop is cluttered again and you feel like you've put enough shit in your Alpha folder, make a ",Beta" folder.
Put your new files as well as your ,Alpha folder into it
Proceed through the Greek alphabet. Once the final folder is done, replace the comma with a semicolon and then start again. Phoenician works too if you are feeling extra spicy.
What this effectively does is that it categorizes all your images by time periods when you saved them and as you look for old images more often you come to memorize where everything is within the folders.
You now have a folder maze of organized chaos.