I can see the value in keeping 3 of them, but not all 4. If the 70-300 is the 70-300IS, then I think you'd be better off keeping that and selling the 55-250. If it is indeed the 75-300, then get rid of it and keep the 55-200. Having overlapping FL's isn't necessarily a bad idea, and I can see where you'd want the 18-200 for a walkaround when you are only taking 1 lens, whereas the 18-55 and 55-200 have better image quality in their ranges. To really see a jump in capability, I would recomnmend selling at least one of your lenses and getting a good solid prime like the 85/1.8 - it will be able to do things that your slow zooms can't: shoot action in low light and get really narrow depth of field.
It isn't weird by the way, it has recently been given a diagnosis: GAS (Gear Acquisition Syndrome). If you actually shoot with your gear it is OK, but if you are only a collector there are better hobbies.
If you notice my signature I have some overlap, and that is intentional. I prefer to shoot my 2 L's, but there are times when I need the capabilities of the 28-135 or 17-35. The 17-35 only ever gets used at 17mm when I need an ultrawide shot, and the 28-135 is my light travel lens. The 28-135 also serves the purpose of getting more depth of field with static subjects in low light, such as at a museum.
Current: 5DM3, 6D, 8mm fish, 24-105/4IS, 35/2IS, 70-200/2.8IS, 85/1.8, 100-400/IS v1, lensbaby composer with edge 80, 580's and AB800's
Formerly: 80D, 7D, 300D, 5D, 5DM2, 20D, 50D, 1DM2, 17-55IS, 24-70/2.8, 28-135IS, 40/2.8, 50/1.8, 50/1.4, 70-200/4IS, 70-300IS, 70-200/2.8, 100 macro, 400/5.6, tammy 17-50 and 28-75, sigma 50 macro & 100-300