I look at the BBC weather reports on the Breakfast News, both nationally & locally, which I've found do tend to give a pretty accurate indication of the weather for the next 48 hours.
Sometimes they do show the actual weather fronts which is useful, and as PeteB99 mentioned above, the European Centre for Weather forecasts web site which has the pressure maps, gives you a fair indication of the likely development of weather systems. Also there's various aviation weather sites I look at, although for the average person, they won't tend to mean much, so they may not help you!