The 18-135mm also came with my 7D. I played a fair bit with it. Took some shots of a sign for a local company using the 18-135mm and also the 100-400mm L. Noticed signficant purple fringing with the 18-135 when I pixel peeped, but no purple fringing with the 100-400.
While visiting a store to buy a backpack for the gear was chatting it up with the salesman and drooling over the 24-105mm L. The guy suggested I try it on my camera, even though they didn't sell it in-store (it was the kit lens for the higher-end DSLR they were selling), Took some shots inside the store (bad lighting, lots of glare, lots of colour). Big difference in IQ when I pixel peeped! So I ordered the 24-105mm after finding it on sale through another retailer.
A couple of days ago did some focus testing/comparison with the 18-135 and the 24-105. The detail of the 24-105 is clearly superior. Crisp, sharp compared to the 18-135.
I'm thinking I'll keep the 18-135 as a backup lens, but then my collection is not as extensive as yours. It does a decent job. 18 vs 24, so a bit wider; you have the 18-55 so not as relevant for you. It is lighter. Well-suited to the crop sensor. When I find the 10-22 on sale, maybe will reconsider selling the 18-135.