I think I switched from using a combination of altavista & one of the search sites that combined a lot of different results.
It was better, but I can't remember thinking it wasn't orders of magnitude better. I didn't use it once and think 'oh my god, this is perfect'. It was a gradual switch. And to begin with the thing which made me use it more was the simple UI.
Really, it wasn't that much better, at least not to me at the time. I'd switch search engines every few months, or more accurately have 3 or 4 search engines to deploy against difficult queries.
Google was _slightly_ better than alltheweb.com at the time that I added it into the mix. But it slowly began to win more and more of the "query requires using 4 search engines" contests and eventually I only used one.
It was better, but I can't remember thinking it wasn't orders of magnitude better. I didn't use it once and think 'oh my god, this is perfect'. It was a gradual switch. And to begin with the thing which made me use it more was the simple UI.