I did something like this at school, it sucks that girls were made to do workshop lol
When drilling acrylic heat is a problem for the reason that it causes the plastic to melt and it can also crack. The usual twist drill may end up chipping or cracking the acrylic because of its tendency to lift and twist the acrylic rather than scraping it like a drill, which is designed for acrylic. You can adapt a twist drill to use on acrylic with a bench grinder, simply by dulling the leading edge of the drill bit, or you could just buy one at your local hardware store that is especially made for acrylic.
When drilling the plastic make sure you start and end the hole slowly, if you are going to be drilling a few holes then make sure you wait a few minutes to allow the acrylic to cool down to prevent from melting. Another thing you can use is a holesaw but these are mainly used for larger holes and they it’ very difficult to prevent them from melting the acrylic which will then stick to the side of the hole, also remember not to drill too close to the edge because it will crack so try to make it as centre as possible

I think I'll get my father to do this for me though haha
I can't believe I forgot, use safety goggles and possibly some safety gloves just encase the plastic melts on to your hands