for that prioritization, in that price range, I'd reccommend the Fuji S3000. There are some great deals for it now all over the place. I've got one and I love it.
Here's a sample pic from it. (coming in a second)
Here you go.. (and these were taken from quite a distance, and not at the highest resolution; another feature that I like, a lot of zoom for a decent price) Make sure to get them an extra card as well (Ive got a 256 mb card and it holds PLENTY of pictures) (rockon) good luck! [I only can really speak to this because its the only one I really have experience with, but really like it; if you want to go smaller, maybe a little cheaper I also have had/have the Nikon Cool Pix 3200(?) Very good as well.