Quoted:
Get the 24-70. The 16-35 is too wide for an all purpose lens and the 17-55 is crop only, so you'd have to sell it if you ever went full frame. Also, it's a dust magnet.
I actually disagree, at least for my type of shooting, but that's one of the hard things about photography, everyone is a bit different when it comes to their style, and what works for one person is not necessarily what's the right answer for the next person.
Traditionally, I have always carried a 15-30mm zoom, a 70-200 2.8, and a 50 1.8 in my bag. For sports, or anything that a longer lens would be useful for, I brought along my 600 f4 and/or my 300 2.8. I almost never brought a mid-range zoom, and I rarely, if ever found I used one. I found that I usually either wanted to be wide, or long, but rarely in the middle. In those situations, I found that if I needed more than a 30mm, and less than 70mm, the 50 worked just fine, cost less, and weighed less. Bonus is that for both Nikon and Canon, the 50 1.8 are some of the sharpest lenses made. And they work as a loupe for my LF gear when I have misplaced my normal loupe.
I've actually changed this a bit. I still have the 15-30mm, and I still carry the 50 1.8, but I have actually traded out the 70-200 2.8 for a 70-300VR instead, and I've sold the 300 2.8 since I no longer shoot sports.