Holding your camera more steadily is important in getting sharp results. Outside using tripods, there are a number of things you can do to achieve this. Juancho has already touched on this earlier, but his focus was on how to hold a camera normally.
For other options, I’d like to refer you to the video below.
As an addendum to the above, while he’s demonstrating his tips with a full frame DSLR, most of what he’s saying will apply to other cameras, as long as they have a viewfinder.
When you compose from an LCD screen, the tendency is for you to extend your arms a bit create some distance from your eyes. This results in a greater tendency to move as you click or tap on the shutter because your elbows aren’t tucked in anywhere, and you won’t have the benefit of added support from leaning the camera into your cheek.
Take these pointers to heart. Good luck and keep shooting.