This time of year, the biggest worry is ice. It can form any time you're in visible moisture and temperatures are below freezing, or even a little above. Most light airplanes aren't equipped to prevent ice from sticking to them (mine isn't), and if it does it can be very dangerous -- not because of the weight, but because it disrupts the flow of air over the wings and tail.
In warmer weather, the greatest threat is thunderstorms -- and any time of year, there's a chance that the clouds will be too low or the visibility too poor to get into the airport, even flying by instruments. The airlines have a lot of resources we don't.
We'll hope for the best in the meantime.