Well for starters, the "Amazing PC version" is simply a crappy console port in its vanilla state so if your PC can handle it, start looking for the mods with http://skyrim.nexusmods.com/downloads/file.php?id=607. I'd also recommend you go with http://skyrim.nexusmods.com/downloads/file.php?id=131 mod and http://skyrim.nexusmods.com/downloads/file.php?id=3863. What you will basically have done is turn the PC version of Skyrim in to a PC game in terms of looks and userbility. From there, it's a personal choice on how you want to play the game

I'd also recommend the http://skyrim.nexusmods.com/downloads/search.php utility that compresses the textures and will improve performance.
I assume my machine can handle it. I haven't checked the pre-reqs but there shouldn't be anything it can't handle yet.
i7 2600k cpu, 16GB 1866 RAM, Radeon 5870, 2TB HDD (Sata 6, 7200rpm, 64mb cache), Win7 64bit. If it can't handle it, I'm going to be pretty upset.
Lightnight, check your PM box please!
Thanks! That was really helpful.
Unofficial Patch or some form of antibloat should be your first order of business.
As for visuals I can only share what I have tried... I hear there are issues with ENB at the moment so you could try this: http://skyrim.nexusmods.com/downloads/file.php?id=13531
I just started using it and while it is not everything I would want it does make the game look a lot nicer.
This is also pretty much a must use: http://skyrim.nexusmods.com/downloads/file.php?id=3863
If you get stuttering you can try this: http://skyrim.nexusmods.com/downloads/file.php?id=4
I'm not really a graphiphile (sic?), so textures don't really bother me all that much. The stuttering things sounds like something that would bother me though. Thanks.
Hah, just checked out that UI, pretty slick. That's something that bothered me the first time I demo'd the pc version to see if it was any better than ps3 (yes, I built a new machine because of how much better it seemed).