Hi, if I might add, blurry photos from digital cameras can also result from an inappropriately set focus mode, shutter speeds set too slow for hand held photography and/or too low ISO selection. Since you are already familiar with 35mm photography, I'm gonna assume these terms are not frightening to you. (If they are, let me know and I'd be happy to elaborate.)

If your camera has optional focus modes, such as "infinity", "landscape", etc., it may be set to the wrong mode for the type of photos you are shooting. This may also result in fuzzy, out-of-focus images. For instance if you're camera is set to "infinity" or "landscape" mode and you are trying to photograph near objects, those object will be blurry. In this case, the camera lens automatically moves to a distance position and locks in that position. You may want to check your camera setting.
If your camera is set to a slow shutter speed (manual mode) or you are using "aperture-priority" mode, that may too result in fuzzy images as the shutter speed to which the camera defaults is too slow for hand held use. This, too, results in fuzzy photos.
Finally, if your ISO setting is too low for the light conditions, the camera will default to a slow shutter speed again being too slow for hand held photography.
If you think you are depressing the shutter correctly, then take a look at your camera settings. The problem may lie there.
Hope this helps.

Cheer,
Deb