I got dahlia tubers for the first time last year and totally messed it up at first - planted them straight in the garden in March when it was still cold, and of course they died. Since then I've done it differently and had way better results. Your neighbor is absolutely right about cool storage, that's actually the key thing. From late February or early March on, I store my tubers somewhere cool and dry (for me that's the basement), and they stay there until the first sprouts show up. That usually takes four to six weeks. This cold period basically activates the tubers and makes sure they actually shoot up properly instead of just sitting around doing nothing.
They only go in the ground once you're sure there won't be any more frost - depending on your region that's sometime between mid-April and May like I said. I always check the soil temperature, it should be at least 12 - 15 degrees. When you actually plant them: loosen the soil, don't plant too deep (two to three centimeters of soil over the tuber is enough), and don't keep them too wet the first few weeks or they'll rot on you. If your tubers are still completely dry and you're already worried about it now in September - just store them somewhere dark and cool until winter, that's totally fine.