After about 30 - 60 minutes, depending on volume, your soap will have set enough to move it around. Do not try to take it out of the mould yet, it needs to be completely cool. This can take several hours at room temperature - ideally leave it overnight. Don't be tempted to put it in the fridge though, as condensation can be a problem. You can, however, put the soap in the freezer BRIEFLY once it is cool if you are having trouble getting it out of the mould. Be careful though, I split my bar making mould by leaving it in the freezer for too long, which made it go brittle and crack when I flexed it.
To de-mould the soap, tip the mould upside down over a suitable surface, and gently flex your mould and push the base. If it is properly set, the soap should pop out quite easily. If not, leave it a while longer or try the freezer trick. A complex pattern in your mould will make it more difficult to remove.
Admire your soap, then wrap it in cling film. You don't need to do this immediately, but certainly within a day or two, as the soap can 'sweat' if left out for too long. If you like, you can make a fancy label for it.