Antony wrote:
Another option is to use your wimpy router, but not all the way
through. Even with a 2000w router, I'm not convinced it's best practice
to do it all in one cut. You could do it all with the router in about
10 passes going progressively deeper (if you can find a long enough
1/4" bit.

The pro who did my worktop recently, using a large Makita router, used
that method (I've never done it myself, or even seen it done, before)
and he certainly made an excellent job of it.

David