Winnie, my 2 cents - don't go getting a good DSLR if you never intend to use its features and just leave it on Auto mode all the time. A quality point and shoot is cheaper and will do just as well.
And whilst I don't disagree with the choice of a Nikon or Canon, as they are most common, lens quality is probably more important. Olympus, Fuji, Samsung, Panasonic and Sony all do great cameras and have excellent lenses when compared to the 'kit lens' that comes with most entry level DSLR packs. Some also do fantastic video, which might be something you also want.
If you want simple and very portable then grab a good point and shoot with a good optical zoom. If you want better lenses and more features, then a DSLR with interchangeable lenses is the way to go. Personally now, I would pay extra for a better lens, than get a body with all the features under the sun and a huge number of pixels.
Budget determines everything as usual.
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