There are many good choices in that price range.
But it would help if we knew your likes/dislikes.
What size camera do you prefer?
Large, Medium, Compact, subcompact.
Do you have a zoom preference (3X, 5X, 10X, larger)?
Many cameras now have HD (high definition) video.
...Does that interest you?
..
I have no experience with digital cameras. I want a camera for a dummy. I want to spend around $300 (more or less). The camera will be used indoors and out primarily to take pictures of people and dogs. I do want built in video capability. Any suggestions woill be most apreciated.

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