All you really need is
one of these (mine is the next model down, minus the scissors or the hooked implement but otherwise identical).
For the record, it performs admirably always drawing the cork precisely and in one piece (always assuming you can still find a wine bottle with a 'real' cork that is. B****y plastic!
).
Indeed, it does the job
a lot better than the pukka corkscrew which we bought
in France, and now lies in a kitchen drawer unused...
How much a Swiss army costs these days I don't know, my wife bought me mine as a pressie...