Hi Dan,
Welcome to the Forum.
IMO the best tool for the job is a 'Rolex Sea Dweller Screwdriver' . This screwdriver comes with the Sea Dweller but can be bought separately. I have one that came with my SD but bought a spare on Ebay. It is the exact size for the job and exposes the link screw heads to the minimum potential for damage.
It also has a pin for removing the springbars on a Rolex with lug holes.
If you have a Rolex with no lug holes have a look at:
http://www.watchtool.co.uk/bergeon-6...ts-p-6712.html
for the best tool but there are others listed.