The 18-70 is known as a good lens. The 16-85 gives you a bit more at both ends, it has VR and is also known to be a good lens.
If you really want a 1 lens travel zoom then there are also the 18-200 and 18-300 options.
All of the above options are DX and would represent regret investment if you subsequently change to a FX body.
While the new 24-120 f4 is a good lens on FX I think it will result in a lot of missed opportunities in street photography and tourism shots at the wide end. The 16-85 is the DX equivalent of this FX lens