Unfortunately the answer is XBox 360. It has exclusive DLC that really helps the story.
(If you don't go the XBox 360 route, you can just watch the DLC on youtube. Or maybe get the PC version and hope M$ eventually releases the DLC there.)
I'd probably recommend the PC version over the PS3 version. The game's got some nasty glitches. Downloading a save from www.tombraiders.net can be the best solution. (I think it's easier to download and use the saves for the PC than for the PS3, but I'm no expert.)
In any case, you want to read Stellalune's spoiler free buglist before playing. http://www.tombraiders.net/stella/walks/TR8walk/bugnotes.html
Playing on the PC would also let you apply user mods. Different costumes to supplement the few that come with the game. Making Lara bouncier. Maybe some other stuff.