Choosing the right digital camera for your project means asking (and answering) a simple question: "What sort of project is it?"
If you're a student with limited funds who has never used a digital camera before, you're obviously not going to be in a position to buy a top-of-range Single Lens Reflex digital model. You're probably going to be looking at a simple, inexpensive digital compact camera. If you really want to economise you might even go for a one-use disposable camera. People often use these quite successfully for parties and weddings and they're fine for complete beginners.
The next question you might ask yourself is: "Which compact digital camera should I choose?" Well it makes sense to decide now how much you can afford to spend. If you can afford $200 dollars then start there. Most camera shops will tell you straight which models are in your price range and that's going to narrow your choice down immediately.
On-line stores usually have a 'search' facility which allows you to view and compare the different models in your price range. Use this facility to find out as much as you can about the camera you are planning to buy. Look at camera reviews too and ask your friends by all means. But don't bow to peer pressure - just because your camera has a funky hot pink colour casing doesn't mean it's the best choice for you. Check specifications carefully and shop around. The weight and size of your camera may well be an important consideration for you. If you're able to carry your camera around with you all the time you'll get plenty of practice taking photographs.
Once the photography bug has bitten you - you'll be looking to purchase an entry-level single lens reflex camera. A Nikon D3000 with it's innovative 'guide' technology is a good choice - it is smaller and lighter than many digital SLRs. At any rate you need to buy the best camera body you can afford (packages often include a standard 18/55 lens which you can use for most purposes). You can always add to your investment with different and more specialised lenses later on. A tripod is likely to enhance the quality of your pictures as it helps prevent camera shake.
Regardless of the type of camera you choose - make sure you check warranties and register guarantees. Keep the corresponding paperwork in an accessible place. That will save you time and money if anything goes wrong.