The best way to cut acrylic IMO is with a water jet cutter. The most common method of cutting acrylic is with a table saw or circular saw equiped with an acrylic specialty blade. These blades are expensive but they are specifficly designed to cut acrylic and often use a 0 degree rake angle to minimize chipping. They can produce very smooth edges if you use them right. If you dont have access to either, a metal blade in a bandsaw or a plywood blade in a table saw can produce mediocre results if you keep the feed rate smooth enough to avoid melting the plastic. After it's cut finish it to size with a router. The router will produce the smooth edge you will need for cementing. Use a 2 or 3 flute straight bit.
To get the straightest cut make sure your table saw blade is parallel and true to your fence, and that your blade rotates straight without any lateral (side to side) movement. OK for making birdhouses but not fish tanks. When hand routing I clamp a metal straight edge onto the acrylic and use it to guide the router.