For a 3/4 inch hole, you can use spade bits used for drilling holes in wood. As others said, don't put much pressure... let the tool and the bit do the work for you. I find that running the drill at half speed with these bits using little pressure works great.
For larger holes, I use the same bit that is shown above. The only difference is I grind the bevel out of the tips of the pilot bit. This will keep it from cracking the acrylic. Since you are drilling an already built refugium, I doubt you will have room to drill from both sides. You may also have a hard time placing a piece of wood under your work if you do not have the right clamps. If getting to Brooklyn isn't too much of a hassle for you, I can drill the holes for you and grind your pilot bits for any holes you may need in the future.
You can use the bits as is, but it is so much safer and easeir using the modified tips.