You can cut acrylic sheets in a couple of ways. If you are doing it manually a coping saw is a good clean way. You can then smooth the edges with emery cloth. If you want a clean edge you can use brass to give a lovely smooth edge. There are numerous types of electric saw with a similar blade to a coping saw. Do not use a band saw as the edges will melt. Really thin sheets can be cut with a heat wire.
