Hi, and welcome!
I've recently purchased a pair of Sennheiser HD-590's, and I'm thoroughly happy with them. One thing you should know is the sonic characteristics of each model you are considering.
The Sennheiser HD-580 and HD-600 use a diffuse EQ function to move the soundstage a little more in front of you than other models, as opposed to sounding like the music is coming from "inside your head". They are also high resistance for headphones (300ohm) and somewhat low sensitivity. They are not ideal for portable use without an amplifier, but they are likely the most favored headphones here at HydrogenAudio.
The Sennheiser HD-590 and HD-570 are very dynamic in nature (sound "brighter") and have a closer soundstage than the 580/600, though this can be controlled with software or hardware crossfeed functions (as with any headphones). They are lower resistance (120ohm for the HD-590 and 64 ohm for the HD-570). The HD-570 has a sensitivity rating of 95dB, similar to the 580/600 (97dB), while the HD-590 has a rating of 102dB. This simply means that with an equal voltage (generally 1mV) and with a signal at 1KHz, it will produce a sound 102dB in volume. This may make it more suited for portable use without amplification, but it will depend more on the built-in headphone amplifier in the portable player.
Regardless of the resistance and sensitivity ratings of any of these models, you may still want to consider a portable headphone amp. Personally, I use the
Xin Super Mini portable headphone amp, though if I were buying today, I'd likely get the newer Super Micro, which has the even higher quality AD8620 opamp (and is half the size of mine).
You should personally audition each of these headphones and determine which sounds the best to you. All of these models are high-end headphones, and as long as you're satisfied with the sound characteristics of the ones you choose, you'll never regret buying Sennheisers. For the same (street) price range of about $150-$170, you should compare the HD-590 and the HD-580. Most people prefer the HD-580 for classical and jazz-type music, while the HD-590 seems to be more cut out for rock and pop. This is entirely subjective, though. The HD-580, I believe, has received more acclaim here than any other headphone overall.
But listening for yourself on a source device similar or identical to the one you'll be using, and with music you're familiar with, is the best way to guarantee your own satisfaction.