For practical purposes we have Google and Bing at the moment. I opt for Google as it always in side-by-side comparison gives me more data to consider.
Pretty much the same here, but I would modify one thing that you said. Bing usually gives more data. Google usually gives more useful data.
One thing that annoys me about all search engines today is that they all seem to have abandoned strictly Boolean logic in their searches. They may claim to do so, but they do not. Google comes closer than Bing in doing so. Bing seems to try to guess what might be what you are looking for, even if you didn't actually ask for it. You sometimes have to sort through too much to find what you actually requested, especially when doing arcane research. Google also adds a lot that you didn't ask for, but not as much irrelevant information.