wrote
I'd definitely use the router, not a circular saw as it's a lot easier
to control. Unless
you're particularly handy, it's going to be easier to pay someone with
experience to
do the repair.

Actually I use a Makita 14.4, 3-3/8" saw, bought just for this purpose and
use a carbide 20 tooth blade. I never have and never will use a router to
cut out a tile or plank.

It may be easier to use a router for a novice.