I need a digital camera!

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Well, I just can't take it anymore! My digital camera is dead! The flash went out a couple months ago and I've resorted to either using my cell phone which doesn't take very high quality photos and produces mostly blurry pictures of my babies because they move around so much OR borrowing my mother in laws camera, which she uses on a regular basis so that is problematic in itself. I haven't been in the market for one for a while and I've never really researched digital cameras very much. Here is what I need in a digital camera:

1) The ability to take good quality photos indoors and outdoors.
2) The ability to take photos of moving objects (my kids) without parts of the photo coming in blurry.
3) The ability to take good quality videos with sound.
4) A camera that isn't going to break my pocketbook, has to be reasonably priced.

Anyone out there have any suggestions? I'm getting desperate! Little Sister is already 4 months old and I don't think I have even 1/3 of the amount of photos of her as I did Big Sister! There are so many moments I want to capture and right now I'm just SO limited! Please give me ideas!

Or if you are from a digital camera company or sell digital camera and need a reviewer I would be MORE than happy to test one out! PLEASE help me!

On a totally unrelated note, something has been killing my birds! I've lost all but 2 hens, a rooster, a Peacock, a Royal Palm Turkey, an African Goose, a Pekin Drake, and a Rouin Duck.  This is So not fair! I need to build again and make them varmint proof somehow! Ugh, this has been a rough Spring/Summer for my birds! To top it off, my Swedish Duck was laying on 11 eggs, they are all "half baked" and I put them in with my Goose hoping she will adopt them, but we will see. I'll keep you posted. After we lost our farm dog Joey, it seems like my birds are just not safe anymore! Good farm dogs are hard to find and hard to replace! RIP Joey we miss you!

Thanks for the help dear followers and have a GREAT weekend!
Kelsey