When I decided on the 60D, just like you, I had the same question. Several people here told me to avoid all three kit lenses and save up for the 15-85, which I did. I haven't regretted it for a moment.
For one thing, the lenses offered with the 60D are not the latest versions, in the case of the 18-55 and the 18-135. Both these lenses have been replaced with STM versions. I'm sure you have this but here's the link to Canon's lenses: http://www.usa.canon.com …ts/cameras/ef_lens_lineup
PS: many people do start out with the 55-250 for their first telephoto lens. For the money, most people seem satisfied with it as a budget lens.