You'll need acetone. Pour it in a bowl and dunk your fingertips in for about 20-30 minutes. The nails will start to peel off, you can use an orange stick to help. If you file the nail over the acrylic nail to thin it out a bit first you might not need to soak them for as long.
Another way is to soak cotton wool balls in the acetone, then fix them to your nails with tin foil (like they do in salons to remove Shellac).
Use a good nail and hand moisturiser when you've finished.