sorry that was a bit mean! I think that there's a chance from the middle of next week of some hill snow and wintry showers pretty much anywhere. There's no sign of any prolonged or disruptive snowfall and upper air temperatures look too warm for that.
I've attached the upper air temperatures for Oxfordshire. They are especially important at this time of year because they are pretty independent of diurnal variation, that is, the contrast between day and night temp temperatures. As you can see, they drop down significantly, but then there's not really any clear sign that things will warm up afterwards and indeed there are hints of it turning colder again. Models are very split.
As we get into March, solar heating makes a big difference to how warm air close to the surface is, especially as days are much longer. However, wintry showers at this time of year can be really photogenic, with the sun helping create big billowy cumulonimbus clouds, through instability.
i wouldn't be looking at winter tyres, but I certainly wouldn't be putting out tender plants or planting seeds too early!