You haven't lived until you cut a 6" hole thru the carpet, plastic and metal of a 70s era American car door in one shot with a 1/2" 120V corded old school Metabo or Makita drill. We used to do this frequently at the car audio shop I worked at in the 80s. Barbarism, excitement and danger all at once, especially if the customer was witnessing this. No safety glasses or gloves, naturally.
I have around 25 hole saws now, they are all Milwaukee or Craftsman (which are interchangeable on the arbor) bi metal. Anything not bi metal is likely to get dull and become really dangerous too. The bi metal ones will cut stainless sinks in case you plan on adding a soap dispenser or glass sprayer. I also grabbed a few diamond/carbide grit holesaws that are pretty awesome; I've used them on wood (not so good), carbon fiber (with a respirator!) and some other materials, I think they're likely best for unknown obstructions, cause they will cut anything incl I believe concrete.
Holesaws with powerful drills are easily capable of breaking your wrist and then attacking your project and possibly you if something jams/binds, which is pretty easy on larger diameters.
I cut a lot of large dia holes into mdf for loudspeakers. If the hole saw is too small, the jig saw and then router table are used to finish.Drill a 1/8" pilot hole using a drill guide to ensure the hole is perfectly square and true.
Then drill the aforementioned 1/4" hole solo; then have at it with the holesaw. Keeping the speed appropriate will mitigate jamming and burning; it's a good idea to pull it up to allow the cut/dust to escape.
If you have no need for, or want to save the money, using an orbital jigsaw with a proper Bosch or similar high end blade made for the material (likely melamine on particleboard) is not too difficult, as long as there is blade clearance below, Also, a router can do this, only the mess will be biblical.
Tape up the surface in any event with painters tape and mark out the hole you are after. Jigsaw will cut a hole that small, you can finish with router or hand sanding if the OCD is high enough.
Good luck and be careful; pls share photos of the ongoing effort and the final product pls.
