From using Bing for a week, I noticed that Bing's results for my searches were more specific while Google's were more random. But considering how I usually don't really know what I'm looking for when I search for them, I need Google's randomness to find what I want.
If I know what I want or something specific, I'll use Bing. For everything else, Google will be what I'll use. It's funny, but search engines should be kind of like the Improbability Drive from Hitchhiker's Guide to the Universe.