Homebrew PCBs

What are good ways to cut FR4 to a desired size and shape? Often times I 
need square or rectangular shapes, but occasionally I need an offset or 
or otherwise odd shape.

A project I am working on now has a 6in X 8in X 1/16in piece of FR4 into 
which I need to make several cutouts (holes) that are 1.2in square. Any 
advice as to how to make such holes?

I have the usual hand tools, but am not adverse to acquiring additional 
gadgetry.

Thanks.

Steve