Yes there is a right way and a wrong way to hold your camera. While this may seem elementary, a surprising number of beginning photographers have never received formal instruction on this subject and consequently, their camera holding technique is unacceptable.
If you want to get the best hand-held camera experience, here five simple tips:
1. Bend your knees and spread your feet approximately shoulder-length apart.
2. Keep your elbows tucked in CLOSE to your sides. This makes a more stable shooting platform.
3. Cradle rather then HOLD the lens in your hands. It should rest there nicely.
4. Use your face and press it firmly against the camera back to add another point of stabilization. If your camera offers a rubber eye cup get one. A Zacuto Z-Finder works well if you use live view. (These will minimize movement caused by blinking eyes or breathing.)
5. Lastly, roll your finger ACROSS, not DOWN on the shutter. It makes a big difference in how much movement the camera records during your shot.
Practice these techniques when it DOES NOT count so that when it does, you will be ready to get a sharp image.