Plexi Glass –
Supposedly a router is the "best" tool for cutting plexiglass but I think this is a rumor created by router salemen. Anything, a handsaw, drill, dremel, jigsaw, hobby jig saw table thing.
As far as paint you do want to use solvent based or spray cans to use the solvent to bite in. You can use acrylics but it will scratch if not put on just right. Acrylics to be put on just right is a cleaned surface using rubbing alcohol or actually light sanding then a thin coat, wait 2 hours, more thin coat repeat as many as 4 times to get the right thickness. No one does this though, they flood it on there and wonder why it is peeling or scratches easily.
So the solvent based paint is the more fool proof do it now method. Sign shops have see through colors that amount to heavy clear coats with tint in them for shinning through light similar to colored plexiglass.
Another fabulous post from the U.S.Department of Wild Imaginings, now in spectaclar stereo, sponsored by the Adhesives and Sealants Council, suggesting ways to stick things together since the 1800s. Not fabulous in a gay way. Your results may vary. Illinois residents add 8% sales tax. These posts have been made by professional post makers, do not try this type of posting on your own without extensive training, lovely assistants and a trusty clown horn.