In order for a camera to achieve a fast shutter speed, you either need to set it manually, or there needs to be enough existing light for the camera to select it automatically. Indoors lighting is usually too low for a camera to use a fast shutter speed unless some other conditions are met. It might require a lens that can let in more light. Such a lens will be designated with a number like f/1.8 or f/2.0. The smaller the number the better. The other way to get a faster shutter speed is to make the camera more sensitive to light by selecting a high ISO; ISO 800, 1600, etc. The downside to a brighter lens is cost, and the downside to a higher ISO is noisier, i.e. less sharp photos. But for photos that will be posted on the web, high ISO is not a problem.
There aren't many cameras with a rotating LCD. Within your budget, I would suggest the Canon G12 or Samsung TL500. Regardless of what camera you buy, you should learn the basics about exposure:
I'm in need of a new camera to take photos of animals for an animal rescue website.
My two "must haves" are 1) FAST shutter speed since animals are always on the move and 2) a rotating LCD (this allows me to "trick" them so they don't know I am concentrating on them directly). A third HUGE plus would be good photos in low light.
Photos do not need to be professional quality for print. Most will just be on the web. I would like to stay under $400.
PLEASE HELP! Thank you so much!