Also make sure you keep your hand steady! I have a very inexpensive digital camera and the shutter speed is extremely slow -- only rarely do I get a close-up picture to come out clear, because I have a hard time holding my hand steady! (Or at least, when I hold out my arm to take a picture of my face, it's hard to keep it steady. It's easier when I took the pictures in my notepad, since I didn't have to hold my arm up to take pictures of makeup sitting on a table!)
Also try using a close-up or macro mode if your camera has one, and try holding the camera at slightly different distances from your face. If I take several pictures at different distances, sometimes I can get one to come out clear! lol