One of the first things you should do with ANY camera is set the diopter adjustment so that what you see through the viewfinder is crisp and clear - there are limits to the diopeter adjustment but it should work for most people.
NEXT READ YOUR MANUAL, also there are various video tutorials to assist you available on the web.
Some things that will cause blurry photos:
1. failure to let the camera get a focus lock. By default autofocus should be on, and when you lightly press the shutter button you should get a green or blue rectangle on the centre of the screen and that is where the camra is focusing. If the rectangle is orange the camera cannot get enough contrast to focus so you would need to find something the right distance that will give you a line or shade contrast to get a focus lock. If you want to focus on something and recompose the image so that the object is no longer in the centre, continue to hold down the shutter button LIGHTLY, then press it more firmly (don't jab) to take the shot
2. Holding the camera incorrectly: With a super zoom like this giving the camera the most stability will be critical, more so as you extend the focal range of the lens as you will get camera shake. You should be holding your left hand under the camera, with your thum and index fingers cradling the base of the lens on the left and right of the lens respectively. The camera body should sit on the palm or ball of your hand. The camera should be held to your eye with your arms tucked tight to your side. Your right hand should be free to handle the controls without any need to use it to hold the camera - this means that you hand operate the controls lightly.
3. Slow shutter speed Your SX60 has image stabilization, so that it will try to keep the lens image still under reasonable conditions, but if your shutter speed is extremely low relative to the focal length of the lens you will be at risk of camera movement anyway. The general rule of thumb without IS is to have a shutter speed at least as fast as the inverse of your focal length - i.e. if you are shooing at 200mm your shutter speed should be 1/200 sec. That's a good place to start until your motor skills improve with experience.
4. Not having sufficient Depth of Field. Technically what is in focus is in a very narrow plane (at right angles to the lens), but our eyes can accept a range of out of focus points before we register that something is blurry. Such points are called circles of confusion and they define your DoF. The smaller the aperture (which means the higher the f-value) the more things will be in focus. So if you want lots of things to be in focus you need a high f-value.
There is a relationship between shutter speed, ISO (that is a measure of sensor sensitivity) and aperture - they are called the Holy Trinity of photography and if you want to control your camera you need to understand each of them and their interrelationships to control exposure, speed of movement of a subject or DoF. There are many tutorials available on this and any decent camera book will give you an outline of them.
One of the wonderful things about photography is that it is a meld of technology and art, and to master image taking you need to engage with both.
cheers, TREVOR
The mark of good photographer is less what they hold in their hand, it's more what they hold in their head;
"All the variety, all the charm, all the beauty of life is made up of light and shadow", Leo Tolstoy;
"Skill in photography is acquired by practice and not by purchase" Percy W. Harris
