Hi Rog
Yes you are on the right track.
You could use your router handheld with a fence.

It would be easier with a router table.
It can be a simple as a thick sheet of ply wood or a piece of laminex covered mdf like is used for kitchen bench tops. The mdf is thicker, about 40mm so it wont bend.

The wood working is not too difficult.
Cut enough boards to make a few flutes. It doesn't take much longer to rout them but it is useful when it comes to tuning.