Tripods will ensure that your picture is free from camera shake, giving you a much sharper picture. Of course this depends on whether the tripod is sturdy and you get the focus correct.
Tripods can be quite cheap, but you will find the the cheap ones are fairly flimsy when extended to any height. It is well worth spending a bit on a good tripod as it is one of the accessories that will work with any camera and it can have a positive effect on your images.
Along with your tripod you will need a good head. Not the one on top of your shoulders, the head is the bit that connects your camera to the tripod and allows you to pivot the camera and secure it in place. Again a good quality head, whether it’s a ball and socket or pan and tilt head will be a big benefit to your photography. The last thing you want is to set your camera up for the perfect shot only to find the head slipping just as you are about to press the shutter.
There are alternatives to using a tripod, a beanbag placed on a wall or rock or some other solid object can support your camera just as well as a tripod and can be a little easier to carry, although it will still be fairly heavy. Beanbags are great for getting set up quickly as you can just chuck it on the floor, on a rock or wherever, plonk your camera down on it and start taking pictures. Tripods take a little longer to set up.