My first digital was a Fuji MX1200 (I think), it was great. Very useful, we used it for about 2 years. I am very impatient when it comes to down loading from the camera. Plus, when we got it, we never got the AC adapter. We were spending so much money on battaries for it!
Last week we went out and bought another one. I am absolutely in love with it. It is a Sony Mavica, the best part about it is that it writes to a mini cdr/rw. It came with an adapter so the cd will fit in just about any computer. Plus it has mpeg w/sound capabilities. I am just getting to know the camera but, the picture quality is incredible. When you purchase a Sony, they have a place for you to go on the internet to post all your pictures, and you can get 10 free 4x6 prints a month for 5 months. I ordered my first batch last Sunday, in addition to a couple 8x10's and 5x7's, I got them on Wednesday. Fantastic! They were beautiful.
But it is best to figure out what you want, what your computer can handle, and what price range you are looking for. There is a digital camera out there for just about anyone. Good luck! Can't wait to see the pictures when you get your camera.