Next I had to recess the plate.
So first I marked the outline:
Attachment 7206
Then routed with the dremel (I love that thing!):
Attachment 7207
And here's the plate in place:
Attachment 7208
Attachment 7209
Attachment 7210
Not a perfect routing job, it could be tighter in places. But it was my first one, and I'm pretty happy with the result!