I hate to be a killjoy, Rowanwitch, but I'm wondering where you're getting your weather forecasts from. I can't see any real snow forecast for Birmingham!
The Met Office's forecast for the city only goes up to the 27th but there's not a snowflake in sight:
https://www.metoffice.gov.uk/weather/forecast/gcqdt4b2x#?date=2021-12-27
Their long-range forecast for the whole country, covering 25 December to 3 January, doesn't look particularly promising for you either:
"This period remains somewhat uncertain in detail, but generally sees a split between colder air to the north and milder air to the south. Along the boundary, rain, with a risk of snow, predominantly across higher ground. To the south of this, mild, unsettled weather, with rain and occasional strong winds. To the north more settled conditions; brighter spells, with some wintry showers, mainly in the north and northeast, and feeling very cold in brisk northeasterly winds. Towards the end of the period potentially an interlude of more widely settled conditions, bringing colder, frosty weather. Maybe a risk of rain and snow with stronger winds arriving from the southwest later. Becoming colder than average heading into January with any unsettled, milder spells most likely for the west and south."
Aunty Beeb gets her forecasts from MeteoGroup, which go up to 3 January. Once again, there's no sign of the white stuff:
https://www.bbc.co.uk/weather/2655603
The Weather Channel is the only forecaster I can find suggesting the possibility of snow but, as that's always alongside rain on the same day, you're probably more likely to be enduring sleet than building snowmen :(
https://weather.com/en-GB/weather/tenday/l/74d3ef23c255b3c569ef5be6914b31e94000d796f2118d8eba492946e93afe0ceb0a5f8a9ed095c44db7867780433ee3
My advice is to close the curtains, turn the heating up, put your feet up and ignore the weather, whatever it is!
;-)