What are climate models, and how accurate are they?

There’s a famous saying that “The climate is what you expect; the weather is what you get.” As a native Texan moving to New York, I had an idea of what to expect, but was not fully prepared for what I would get. Because New York’s climate is drastically different from what I’m used to, every morning before I leave my apartment I religiously check the weather forecast. Very quickly I know if it’s going to rain, whether there’s a storm brewing off the coast, or if I will need extra layers.