Met office
UK Outlook for Tuesday 8 Jan 2019 to Thursday 17 Jan 2019:
A cold north to northwesterly flow is likely to dominate early next week, with showers or perhaps more organised rain at times, mainly affecting northern and eastern areas, perhaps turning wintry over northern hills. Generally, bright, cold and breezy with the risk of gales in the east. More settled further south, with probably cloudier and milder conditions towards the west, slowly edging east across the UK. Towards the end of next week, it looks like staying predominately settled, with light winds and the likelihood of overnight frosts and fog. The most benign weather is likely to last for longest across the south, with very little rainfall expected. Meanwhile, northwestern parts are likely to see cloudier skies with outbreaks of rain at times. A possible transition to changeable conditions by mid-January.
UK Outlook for Friday 18 Jan 2019 to Friday 1 Feb 2019:
Most of the UK is likely to start this period with predominantly wet and windy weather, and a chance of heavy rain and gales at times, especially in the north. Hill snow is also possible, as well as snow to lower levels at times in the north. In the south though, the weather is likely to be on the mild side. Towards the end of January, however, there is an increased likelihood of a change to much colder weather generally, bringing an enhanced risk of frost, fog and snow. This cold spell is by no means certain though, and in any case, some milder, wet and windy interludes are likely during this period.
https://www.metoffice.gov.uk/public/weather/forecast