Storms from thunderstorms to hurricanes are driven by the latent heat energy of water vapor. The more water vapor in the atmosphere, the more energy there is to fuel storms. Through the Clausius-Clapeyron relation, each kelvin of temperature increase puts about 7% more water vapor into the atmosphere--that is an exponential increase, not a linear one. That means that storms will not only have more energy driving them, they can potentially have more precipitation. While global mean average precipitation should follow the increase in water vapor, there is evidence that in the most extreme precipitation events (such as Hurricane Harvey) that precipitation is increasing even faster than the 7% per kelvin.
Additionally, the maximum intensity associated with hurricanes and other tropical cyclones scales with temperature, and maps of the maps of maximum potential intensity show that the regions associated with a particular potential intensity are migrating poleward at roughly 58 kilometers per decade. That means, for example, that if a particular place on a coastline was the northern limit for major hurricanes, that would move inexorably northward, extending the range subject to them.
There are many more subtle effects than are revealed through computer models, and many, many more that we're unaware of. Don't think of it as just changing the temperature by a degree or two, we're changing the total energy in the atmosphere by an immense amount.
EDIT: JimZ's answer contains multiple lies. He claims I warned of "permanent drought" in California. That is a lie. Since my questions and answers are always open for inspection, he is quite welcome to go back to any of my answers and find where I used phrasing like that. Of course, JimZ gives answers that are almost always entirely political--he doesn't want people to know that, so he HIDES his Q&A, so you can't check on what he says. What I would have said about California is:
1. Warming temperatures have raised the average snow level in California and throughout the western U.S. Since much of California's water storage is as snow pack, and not in reservoirs, this decreases the amount of stored water and exacerbates droughts.
2. Regional climate models indicate that the droughts will be longer and more intense, but when they break there will be even heavier precipitation in the non-drought years. So it is the worst of both worlds. Whether that comes true or not remains to be seen, but what we've seen the past few years is consistent with that.
Additionally, JimZ gives conclusions based on "common sense" , rather than on actual science. The connection between hurricane occurrence and ocean temperatures is well-established, and one of the first papers on that was by Dr. William Gray, self-professed global warming denier. JimZ, like other science deniers, seems to have no capacity for nuance or for understanding that the same event may have multiple causes. No one is saying that Hurricane Harvey would not have occurred without global warming, but the devastating rains that occurred there and in North Carolina from Hurricane Florence were made substantially more likely because of global warming. I doubt that JimZ's "common sense" actually extends to statistical probabilities based on physical models, from his incoherent ramblings on "capitalism, freedom and central authority" it sounds to me like his "common sense" is not based on science at all, but are a reflection of his obsession with politics.
Try learning some science, JimZ