It's not so much the weather, but the ionosphere. It varies with weather conditions and inversions take place up there causing the TV signal reflections to vary in distance and strength. I'm not up on exactly how it happens, but I've seen signals from stations that are 65 miles away double in strength at times. From what I've observed, low VHF, high VHF and UHF are all affected differently. While signals on channels 7 to 12 might be extra strong, nothing will be happening to the UHF signals, or the reverse could be true where you get increases from the UHF stations, but the VHF stations remain at normal levels. At times all of the channels can be affected.
There's also the affect of the Troposphere, especially in the Central US and on the east coast where stations from 200 to 400 miles away come in like they're right near by. We don't see that much out here on the west coast, but you probably have seen distant stations coming in at times there in Georgia.
Maybe someone else can chime in with more details and information.