Read dpreview about the cx7430.. For example:
"The shooting performance of the CX7430 was impressive for a camera in this class. In our testing, the delay between turning the camera on until capturing the first image averaged about four seconds (with flash.) Shutter lag when pre-focused was a fast 1/10 of a second, or 4/10 of a second including autofocus. The shot to shot time averaged about 1.8 seconds between frames with the flash Off and about 2.5 seconds with the flash On. Shooting in Continuous capture mode, I was able to capture 6 images in about 1.5 seconds."
- http://www.steves-digicams.com/2004_reviews/cx7430_pg5.html
Kodak and others are addressing the lag time. Dig into the reviews.
Bob
I have a Canon S50 and love the image quality but can't stand the slow response time. I'm taking pictures of two fast moving kids and they're long gone by the time the S50 is ready. Any recommendations for settings that may speed things up? Or - any recommendations for a faster camera? I'm considering the Olympus C8080.

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