Normally, the big question is will the FX lens be wide enough on your DX camera for the style and subjects you like to shoot given whatever your definition of "general purpose walk around lens" is? What are you hoping to gain over your 18-55mm?
While the quality of the lens would be fine, for me it is not wide enough for a "walkaround" lens on a DX body. For me, that lens was the 17-55mm or the 18-70mm. For me, this lens might be a good event or portrait lens.
---------+---------+---------+---------+ Joseph K Seattle, WA, USA
For your requirements as described, I would consider the AF-S DX 16-85mm f/3.5-5.6G VR Nikkor. It offers the same maximum focal length as the 24-85mm, but for use on a DX camera adds width at the other end as well.
Sun 16-Dec-12 04:01 PM | edited Sun 16-Dec-12 04:18 PM by J_Harris
Brian has given a very good recommendation.
The Nikon 16-85mm was the first lens I bought. I have more lenses now (you can see them in my "Equipment Profile") and have considered selling the 16-85mm several times, but it is still around and used often . The focal range is very useful - perfect for a general purpose "walk around" DX lens and optically it is very good with a quality build.
If you can wait a little longer, there is a reliable rumor that Nikon will release a constant aperture f/4 version in 2013. That will make a great lens even better.
Edited to add: If 24mm is wide enough for your shooting style and the added weight, size and expense of a FX lens is OK, you might want to consider the Nikon 24-120 f/4 - it is my most used lens. 24mm on my D7000 has occasionally been inconvenient, but never a show stopper. The 24-120 f/4 and Nikon 10-24 wide-angle lens is a great two-lens set. Add the Nikon 28-300 or 70-300 lens and you will be very happy.
IMO, this is going to be one of the best "bang for the buck" nikon lenses. They'll be everywhere for $400 or so, now that they're being sold as kit lenses. These are very sharp, really quick focusing, nice color/contrast lenses. Cover the full-frame nicely. Probably not wide enough for DX, but you gotta go to 10 or 12mm for that... VR is a nice addition as well.