The only glass I know that's tricky to cut is pyrodur/bel. It must be sawn. (From memory)
Tough glass is impossible to machine after it has been tempered.
Any other glass including standard laminate is just the same to cut or drill, you just need more time on thicker panels for drilling and more care on thinner panels. More pressure to open the crack on thicker glass. Two cuts on laminate, one per side. That's it.
With 5/8 you would definitely need to finish the cut edge, normally they are polished, you can finish by hand with a Diamond abrasive pad, for sanding glass/ceramic. Good enough but not the highly machine polished edge, just safe for handling.
Old glass is more brittle and therefor the break is more likely to stray from the scored line. That's ok if it moves into the off cut. Cutting glass is no more than a controlled break.
As for tooling, an ordinary pair of pliers for nibbling, a pair of glass pliers for opening small cuts and an oil filled wheel cutter. That's enough for straight lines on any glass except pyrodur and any heat treated glass. For laminate you will also need a sharp knife and maybe some liquid lighter fuel and lighter to warm the plastic laminate sheet, handy if it's cold.
Edit-post 204, my fish house (DIY build), I will talk you through any cutting or drilling though I hold no responsibility for loss or injury.