What's the weather like in London in winter and what sports are suitable for?

There are also many students in Britain ... there is no ice in the south, and there are all kinds of snow in the north, close to the mountains ... but on the whole, the precipitation in winter in Britain is not small. The wind is also very strong. I often go running or walking by the river in winter in London, so that it won't be cold when I go out after warming up. In addition, the student card can be discounted when going to the gym. If not, I can get a monthly card or something. To be honest, the British really like playing football ... there are big lawns everywhere ... there are not many basketball players ... tennis and badminton are more expensive.