My advice will be a bit different:
You need to have a physical practice, that will transmute the energy of lust into love for God. I know it seems too esoteric or strange, but it's the only way for most people, if you really want to resolve the problem and not fight it constantly.
For example, when you get those thoughts and want to visit a prostitute, you do 100 prostrations while mentally repeating the Jesus Prayer. If it's still not working, the physical aspect has to be even more difficult (100 prostrations aren't easy as well). St. Benedict had to jump naked into a bush of sharp thorns and stinging nettles to curb the lust he had for a woman and he's a Saint. You can and should include fasting, either intermittent or constant, that's going to extinguish the fire of lust, since you will have less energy and you will have to focus.
Do not disregard the physical aspect, you have to fight the body with physical methods. What's happening to you is both a mental and hormonal imbalance and it takes a while to resolve.
Second thing is this: you have to understand why are you addicted to prostitutes, which void are they filling? You will have to contemplate this deeply and when you understand it, you have to fix that shortcoming in a normal, Godly way. You owe this to your family.
Keep us updated with your progress, you will win this battle with God's help, but only if you accept it.
I have been doing prostrations with prayer and enjoy it very much. It really helps overcome sinful thoughts.
OP, you have to think and spend time with your family and examine the causes for this. All the posts in this thread are great advice.