@voltronic I've used a spade bit for exactly that purpose.
I found my hole saws cut faster/cleaner/easier through thicker wood, but they can be a bit more expensive.
My kit looks like (and probably is) this one:
https://www.harborfreight.com/34-in-2-12-in-bi-metal-hole-saw-assorted-set-14-pc-57525.html