Most of the interesting points have been analysed above, but for continuity ...
FAX - current HP regressing to S Greenland tomorrow, allowing LP 976mb to bring strong N-lies down across Scotland by Thu 1st, less so in S England as they get diverted SE-wards; an interesting small disturbance in the flow crosses England NW to SE on Fri 2nd before the really cold air digs in behind a cold front.
GFS Op - like FAX though the really cold air doesn't affect Ireland and far W Britain. On Tue 6th all the cold is moved on E-wards as Atlantic air circulates around the 'top' of the Azores HP. This HP drifts in across Europe to 1040mb Switzerland Sat 10th, ridge to S England and mild W/NW-ly winds further north, persisting until an Atlantic trough develops into a Channel-running LP 980mb Tue 13th. This brings colder weather to Scotland while further S another S-ly tracking LP is ready to arrive after Thu 15th.
ECM - agrees generally with GFS though the Azores HP is slower to move in and only reaches Spain by the 10th. This ensures a much stronger W-ly flow across Britain, with LPs in that flow bringing some polar maritime to Scotland and potential snow for the hills e.g. from the LP 970mb N Ireland Mon 12th (might even get some rain in S England from its associated trough?)
GEM - distinctly different after Tue 6th as LP swoops in from Greenland with associated cold air and is positioned over the Highlands 970mb Thu 8th - unsettled for all and looking like a big snowdump over the hills.
AIFS - London, maxima dropping to give ice days over the weekend and early next week, back up to 5-10C with rain at intervals from Tue 6th (the milder days being the rainy ones). Edinburgh, a mild New year's Day, but otherwise ice days to Tue 6th, then 3-5C maxima with quite frequent rain
GEFS - cold (5-8C below norm) with milder exception Thu 1st and good ens agreement to Tue 6th, then less agreement but generally milder with mean returning to norm (op noticeably mild, not much in the way of cold outliers) and some rain appearing on many days in most runs. Snow for N Scotland from Jan 1st else best chance of a little snow is on the east coast as the milder spell starts.
The prospects of extended cold weather after next weekend have been written out of the script.
War is God's way of teaching Americans geography - Ambrose Bierce
Chichester 12m asl