What is the ruling regarding drops of urine that do not stop for about fifteen minutes, forcing the questioner to change his clothes repeatedly and making him feel that everything in the house becomes impure, taking into account the fatwa that a wet hand becomes impure merely by touching a dry impurity?

What you have is not urinary incontinence, so do not take concessions for it. The obsessive thoughts about the impurity of the house’s carpets and furniture are baseless, for the default state of things is purity, and one does not deviate from this default except with certainty. As for the shaykh’s statement that touching dry impurity with a wet hand renders the hand impure, this is not a matter of consensus. For instance, if urine dries completely, leaving no trace, and then wet food comes into contact with that spot, the food does not become impure.