Whatever you get, I really recommend something with it's own rechargeable battery. I've had several cameras that don't, and they all eat up a fresh pair of expensive batteries, or normal rechargeables within an hour! You'll save so much money and hassle.
Now I usually use my husband's SRL, but he also has a Cannon Ixus that I borrow for holidays and trips. It's easy to use, takes great pictures, and the battery lasts forever. Can't recommend it enough! Cannon do many good digital cameras.