Removing links
It?s very tough to remove the links, I would recommend taking it to a dealer
If you have to, you will either need a fine punch (or very masonry nail), a medium hammer, and a piece of wood a couple of inches square, a rag or wash cloth. A sturdy flat blade watch makers screwdriver. The ones from a dollar store may not work, and a pair of pliers.
There are two types of links, both of them are a pig to remove, expect lost fingers, lots of swearing and possible scratched strap.
Version one, The one I think you have,
Place the watch strap flat on something hard, put a cloth under it so it will not mark, the outside of the strap will be on the cloth and you will see the arrow, there is a rectangle with a nipple recessed inside.
Place the blade of the screwdriver between the nipple and the edge of the rectangle, press down and wiggle between the nipple and the edge and twist, there will be a locking pin which comes out of the side link, in the direction of the arrow. Wiggle away until you can free the locking pin. It?s simpler to put them back.
Version two,
Place the rag folded a couple of times on the block of wood
Place the strap on the rag so it?s on it?s side, hang the watch over the edge of the block so the strap is flat against the block and there is nothing touching the watch (hanging in air)
Look at the edge of the strap, see the small pin, in the fold of the metal, punch it out (down into the cloth) enough to then grab it with the pliers, I actually drilled a small hole in the block of wood so the pin would be pushed into that rather than against the wood, but don?t drill holes in your dining table!
I would still recommend taking it to a dealer,