Is Lightroom better than Aperture?
Is Photoshop better than Lightroom?
Better at what? This is a very subjective answer and anyone answering will reflect their own needs and workflows.
I've been playing seriously with LR for the past couple of weeks and my 2 cents:
File management is different but is a fair match for Aperture in terms of capability - multiple libraries, referenced libraries, good management tools for these.
It also has something Aperture never had: smart previews: edit and process photos even when the master isn't available right now.
Processing is different, but there are more tools (lens correction for instance) and a very healthy aftermarket in presets for the app - much more than was ever there for Aperture. Basically, in terms of tools, LR continued to develop while Aperture stagnated. There is a learning curve, sure, but there are lots (and lots and lots) of resources out there - especially video on YouTube. These will help get you going.
Downsides: the interface is cluttered and modular. It's more awkward to get things done, especially compared to Aperture.
Photoshop is a different app entirely. It has no real management capabilities and is more a pure editor. But what an editor. You can layout Vogue on this thing. And therein lies the problem. The old joke goes that no one uses more than a third of what Photoshop can do, but everyone uses a different third. It has an awful lot of very powerful tools and many of them are of little relevance to a photographer but are to a graphic designer.
Finally there is the problem of paying for it. You can get both Lightroom and Photoshop on a subscription model for about $10 per month. Not everyone loves subscription models...