You may also consider getting a DT990 Pro (250 Ω, cheaper than the other versions, but does not look as good, and the package does not include a carrying case), and if your laptop cannot drive it to adequate levels, a FiiO E10 on the money saved by choosing the Pro version, which can cost less by about $100. Many onboard headphone outputs will not work very well with the 32 Ω version anyway, since it is less efficient than most modern low impedance headphones. I recommend the DT770 only if you need isolation, as it has the worst sound quality of the DT770/880/990. The DT880 has the most neutral sound (which you may or may not prefer), but it costs more even if you get the Pro version.
I do not know much about the DT860, but the reviews from a few people who tried it seem to be positive (search for them on the forum).