I had forgotten that LV sold them. In a router bit test LV's bits came in 2nd behind Whiteside, well ahead of Freud, CMT, and Amana. I have a few and they are good bits. I've never used one Jim so I can't comment on that. A counter top is too big to run across a router table so you'll have to use it free hand but I would try to either rig up something that would attach to the router to keep it square to the edge or build a frame to attach to the counter top to give the router more surface for the bottom plate to sit on. Otherwise you will likely get an uneven edge.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.