Have the Tudor Pelagos, pretty much the same bracelet setup. I find having a magnifying glass handy makes things much easier. Also have one of those cheapo plastic thing a ma jigs that holds the watch stationary. One hand for the spring tool and one for the magnifying glass. Works out for me.
You seem to have the right tools, but there is a knack to removing a bracelet that requires a bit of practice. Have a look on Youtube for more info.
You need to put light traction on the bracelet as you release the first spring bar, then keep it on while you release the second. If the end links are very tight in the lugs, this can be more difficult, so a case holding clamp can be of help. No need for those tweezer things...
Thanks Archer but I'm damaging the lugs. It wont move. I'm taking it to a watchmaker. What a defeat...
I am sure we have all had the odd watch where we can't budge the springbars. A visit to the watchmaker and possible a change of springbar might help.
I generally overdo it with tools in a case like this. So I would put the case in a holder, and put the holder in a vise, to free up both hands. Then I would don my magnifying visor so I could see what I was doing while keeping both hands free. Then, I would use a teeny screwdriver to release one springbar (pulling out that side of the end link to keep the springbar from slipping back into the hole), and while maintaining traction on the loose side of the end-link (as @Archer described) to keep the springbar from slipping back in, I would then release the other side of the springbar and slide out the end-link. I think that's the strategy, when you have a really snug-fitting solid end link like this.