So, out of curiousity, have you tried your 18-135 for portraits and stuff at say, 85 to 135mm ? Not meaning to be insulting, but do you know how to arrange yourself, and the subject, and the background ? What are you trying to accomplish that the 18-135 does not do for you ? thinner DOF ? sharpness ? bokeh ? blurring of the background ?
I only ask this because I've seen others ask before- because they think that they need to spend a lot on a lens to achieve blurring of the background, making a subject pop out, etc - when in reality- their equipment can easily handle it. They just lacked the know-how- how to use their lens that they already owned- to make the shots. Nothing wrong- and they didn't need to spend thousands to do it.
While I don't think moving to a 24-105L is going to be a bad move- it's still f/4- only marginally faster than the kit lens you are replacing. The DOF will be a little thinner- but it's still f/4. (http://www.dofmaster.com
will help you see how much or little difference ) Will it work- slightly better than the kit lens ( the 24-105L is a kit lens for higher end cameras anyways ) that came with your 60D. Sharper ? Maybe or maybe not. And sharpness can be adjusted to an extent in post or by stopping the lens down a bit. Besides, my spouse does not like seeing too much sharpness in photos - you know how age bothers some... The 15-85 is a sharper lens- but it's still variable aperture, and the DOF won't be significantly different from the kit lenses for portraits, etc.
It's hard to beat the 18-135 as far as usefulness and versatility. the 15-85 is a real decent lens - from what I hear. The 24-105 is pretty decent- but opinions on it vary.. They'd all make a decent walk around lens - except the 24-105 might be a little long - maybe.. Reality is that for what you are talking about- I highly doubt that you will see much difference. PS: Out of those 3, I have never used the 15-85. Wish I had one- but I kind of like my 18-135 on the 7D for walkaround purposes. The 24-105 is on the 5D3 most of the time, only replaced with the 70-200..
And when you get a chance- with that wonderful 100-400L- go take some portraits with that- headshots and stuff- outside where you have plenty of room.. Seriously! It should surprise you.
EOS 5D III, EOS 7D,EOS Rebel T4i, Canon 70-200 f/2.8 IS II, Canon 24-105L, Canon 18-135 IS STM, 1.4x TC III, 2.0x TC III, Σ 50mm f/1.4, Σ 17-50 OS, Σ 70-200 OS, Σ 50-500 OS, Σ 1.4x TC, Σ 2.0x TC, 580EXII(3), Canon SX-40, Canon S100
Fond memories: Rebel T1i, Canon 18-55 IS, Canon 55-250 IS, 18-135 IS (Given to a good home)...