Those pins are hiding screws that people have mentioned,you'll have to pop those first.Some screws can be unscrewed,(as the nuts seal to the top from bridge gluing).
Then go with the hobby knife score and the heat.
You may also want to tape the area off first and lay some cardboard around it,so if the knife preses down it will reduce possable scarring on the top.
Occasionally pieces of the top come up,save those to glue back in.When you reglue the bridge score the area under where the bridge is going to go so the glue can sink in deeper.
If the plugs over the screws get trashed during removal,(it happens sometimes-trust me ), you can grab plastic endpins,they're usually a perfect fit