Everyone goes on about Canon and Nikon, and a lot of people don't know f-all about cameras 🙂 There are other makes of camera around, and they all have something to offer. For example, Sony are very well featured for the price, and feature cool stuff like continuous autofocus in live view mode. What this means is that by the time you've framed your shot, it's already focused and then snapping the picture is really instant – there's no autofocus lag at all. Or, if you are taking a picture of say someone on a bike, it will track focus on them without you having to do anything so when you press the button the picture's bagged. When I played with them they seemed extremely quick for this reason. Another option is Olympus – their cameras are very good and the range is the smallest and lightest, particulary the E420 which, when fitted with the super thin fixed-focus lens is no bigger than a big-ish compact.
The most sensible advice I had was to look at the features that were available, and decide what features you need/want, then buy appropriately. This does not necessarily mean Canon or Nikon for whilst they are good, they are not the only good brands.
Re DickBarton, I wouldn't have thought a DSLR is suitable for a complete photo numpty unless you really want to get into it. There are plenty of top quality compacts (aka 'bridge cameras') that will make your life easy and will be small to boot which, if you want to take your camera everywhere and snap on a whim, is an advantage! Not everone wants to wander around with a DSLR around their neck looking like a tourist. Some of the best pictures are snapped on a mobile.
Oh, and also check what's on special offer when buying cameras, as this for me is the biggest factor. Curry's Digital have Olympus E600 for £330 instead of £540 – presumably because every gadget-hoarder goes in and demands Canon or Nikon…