I had a Sony Cybershot for several years in high school, and I loved it. It was the best camera ever. Recently I figured it was time to get a new one (and my husband and I had just gotten a new puppy and taking pictures with the sony was hard when she moved because of it's slow shutter speeds) so I looked around and tried out everything. I finally decided on a Canon Powershot SD750... and let me tell you, it will change your life if you enjoy taking pictures! It has face detection and a stabilization feature so it's almost impossible to take a blurry picture when you have decent lighting. The face detection picture is also wonderful... it recognizes up to eight faces in the frame (including cats and dogs) and targets them so that no matter what, the face comes out crystal clear. It also has a built in imageprocessor incase it actually DOES take a blurry picture, it fixes it right before your eyes and becomes clearer. In the store my husband and I picked it up and it recognized the faces of women shopping, and went they went behind an aisle out of view, it actually followed them and knew where they were THROUGH the wall! Also, it was amazing when we zoomed in all the way across the store to a television playing a movie, took a picture, and then saw the camera automatically process the picture and make it clear. It's so cool!

It has tons of features, and even though I was so used to and in love with Cybershots, transitioning to this camera was a breeze. It has a special feature where it lets you take a picture in black and white and select only one color to come through, and those are always awesome to see! It's a really great camera, and it's definitely the best you can get for the money. I got mine at target a few months ago, but it is available every where.
Just for an example, this is a picture I took the FIRST DAY I had the camera before I knew a thing about it. There's no extra features turned on and my puppy was as hyper as ever, as it was her first trip to the park: