Some interesting thoughts on the weather for the next few weeks by a BBC weather forecaster here.
And the metoffice forecast for the next few weeks (updated yesterday)
UK Outlook for Saturday 25 Jan 2014 to Monday 3 Feb 2014:
Rain will move eastwards across the UK on Saturday, clearing all but the far east, with showers following, wintry at times in the north. Another spell of rain will then push from the west on Sunday, heaviest on high ground in the west. Cold at first in the southeast, becoming mild in association with the wet and windy weather, though perhaps cold again in between the rainbands. Windy throughout, with gales in the north and west. From Monday onwards the unsettled theme is likely to continue, especially in the north and west. Bands of rain are likely, with hill snow at times, interspersed with clearer, colder, more showery conditions, and brisk winds. The best of any drier, brighter weather most likely in the south/southeast. Continuing risk of frost and fog.
UK Outlook for Tuesday 4 Feb 2014 to Tuesday 18 Feb 2014:
Current indications point towards changeable conditions persisting into the middle of February. The most likely scenario during this period would see northwestern parts of the UK affected by the most frequent bouts of unsettled and windy weather. Meanwhile southern and eastern regions should tend to see the longer spells of drier and brighter weather. Some colder periods are likely, particularly between weather systems, with large variations possible day by day depending on the timings of weather systems, but in general temperatures close to the seasonal average are most likely.