Are you shooting in full auto mode (green box)?
Or in aperture (Av) or shutter (Tv) priority? Or?
Is your lens set to autofocus, or manual focus?
Do your lenses have image stabilization? Is it turned on?
Does it do the same despite which lens is on the camera?
If you think the exposure time might be too long, then try shutter (Tv) priority and set it to at least 1/80 of a second. Higher, if possible, say 1/125 or more.
Check your ISO setting too. Is it at 100, or 1600, or? If you have it set too high, the images might appear noisy or blurry.
Has the camera been dropped or taken a hard bang?
What about the lens that is on it, has it been dropped recently?