As he says, either is a top flight editor that will address all your needs. My editing isn't so heavy, so I've found Photoshop Elements (came free with a scanner) to be adequate for my needs.
From most of the photo magazines here is Australia, Lightroom seems to be the preferred choice but if you have or know Photoshop, that would be the better option for you.
If cost is an issue, you can still get a copy of Adobe Creative Suite 2 (CS2), which includes the full Photoshop, for free, with a legitimate public product key from the Adobe website. It's old but it depends what you need to do.
Also free is The GIMP, open source, has pretty much the same capabilities as Photoshop but (and a fairly big BUT) there is a significant learning curve with it. It is, of course cross platform.