Re: Blurry Pictures
Shutter speed is adjustable on every PASM setting except P (and even then it's adjustable in-directly through Exposure Compensation). Your turn dial on the G1 is a two-in-one dial. Press it in to access the secondary function (ie, in Aperture priority it adjusts Aperture without pressing in, and Shutter Speed ie Exposure Compensation after pressing in).
Probably what's going on is that your Canon is set to prioritize shutter speed by bumping up the ISO. Your G1 is probably prioritizing Image Quality by not bumping up the ISO. Neither is better than the other, they just achieve different results. Although slower, if motion blur is not present you will likely find the G1 photos on Automatic settings to be much clearer than the Canon photos, but on the other hand you've already noticed that you have a lot more keepers from the Canon. If you avoid Automatic settings (ie, keep the camera on A, S, or M), you won't have this problem with either camera, as you will be able to choose your own priority.
PS, getting a faster lens (allows a lower f-number) will allow you much faster shutter speed without sacrificing image quality (like bumping up the ISO does). An f/2.8 maximum aperture is good for a zoom lens, but primes will go faster (ie, f/1.4, f/1.8).
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