Finding a high quality zoom lens for $232 is an impossible task.

Before you condemn your present camera and/or lens, try taking some pictures using a tripod to steady the camera. Some people have difficulty holding a camera steady. If you don't have a tripod use a bean bag or just set the camera on a table and use the delayed shutter feature.
The delayed shutter will keep you from jostling the camera when you press the shutter.

Back in the days when people used a camera viewfinder to take pictures, your head would help you hold the camera steady. Holding a camera away from your body, at arms length, so you can see the LCD screen is not the best way to steady a camera.