I'm going to still stick to the web version of TWC. Where i live the difference between my house an 4 miles east can be as much as 15 degrees higher. The TWC page lists surrounding communities. Probably not an issue for most of you, but essential for me.
Again, take it from a weather geek, WunderMap cannot be beat for current conditions. They include hundreds of private weather stations in their current conditions reports of temp and wind speed and direction. You can overlay radar, satellite, and fronts, among other data points. Some of the private stations are better than others, but you figure out which ones in your area are reliable pretty quickly.
For forecasts, nobody can beat the NOAA/NWS. In fact nobody is really trying. You can click on any point in the country for a 7-day forecast for that precise location, not some place that might be 20 miles or more away. If this was packaged as an app, then we'd have something really great. All of the commercial packages are basically the same, and all give out rubbish forecasts, way below the state of the art.