Based on the Sigma cameras that I own:
SD-10: Bulletproof - never had it go wrong. Not a good "low light" camera and its shutter shedding small flakes required frequent sensor cleaning (A known issue...). Very good dynamic range on outdoor, daylight scenes.
SD-14: Great color, much better sensitivity than the SD-10. Comparatively buggy software as it would frequently lock up if the buffer was filled and then you *tried* to do anything. Camera would often crash (requiring removal of battery) if it was turned on with the other switch got set halfway between settings - something that I frequently/accidentally did when pulling it out of the bag. Good dynamic range and far better low-light sensitivity than the SD-10.
SD-15: Harder to use than the SD-14 owing to the AFE that cannot be turned off (that I know of...) which can make it easy to blow out highlights irrecoverably so I always set it to at least -1EV - more on scenes with bright backgrounds. Good color and a nice, large buffer. I never had its software crash. I preferred the color of the SD-10 and SD-14, though. Notably better low-light sensitivity than the SD-14, although something in the later versions of SPP sometimes made processing dark images a bit tricky without causing chroma "blobbing".
SD-1: Unless you get *really* good lenses, you'll sell this camera short. I have the older 18-50 F2.8 which works well in the center, but soft on the edges unless I stay with its "sweet spot" aperture range. I occasionally use the 35mm F1.4 Art which is impressively sharp in the center and only very slightly soft at the edges, but the available lens profiling in SPP makes this problem practically vanish. Much more tolerant of exposure goofs than the SD-15 but "SD-10-like" in its buffer size and the time it takes to write its massive raw files to the memory card. Unless you have a pretty fast computer, processing full-size RAW from this camera is painful. On my copy, the color is a bit better than on the SD-15, but it sometimes takes a bit of a fight to get SD-10 or SD-14-like color and contrast.
I would go with what has been said before:
SD-1 - If you can get the *good* lenses that will provide the jaw-dropping detail. Unfortunately, these lenses are somewhere around $1k per copy, new, more or less.
SD-15 - This camera will out-perform most of the "good" lenses available for it, but you really have to watch the highlights.
For either camera I bracket exposures whenever possible as memory is cheap these days!
CT