The most popular large zoom cameras cost between $400 and $500 and are large cameras.
There are two cameras by Panasonic that fit your description.
They are small for a 10X zoom camera.
The Panasonic TZ2 and TZ3.
They are identical except the TZ3 has one more megapixel and a larger (3 inch) LCD screen. The price is between $300 and $400.
Here is a look at the specifications:
There is a review of the TZ3....just click the green link just under the photo of the camera.
I am a mom of 4 girls and an avid scrapbooker looking for the right camera. Any suggestions? I have been reading all the reviews and looking at every company, type, ect. and I am totally confused. If I find a camera that has a great zoom, it doesn't do great action shots, if it takes great action shots it has a terrible zoom and is heavy and bulky. Augh!!! I am looking for a great camera that isn't huge, takes great action shots(my oldest daughter is in lots of sports) and has a great zoom, I also take my own family's/daughter's portraits, I also don't want it to be so heavy it will be a pain lugging it around!! I am looking in the $300-$400 range. If you have any advice I would love to hear from you!