Erasmus student looking for an accommodation

Hello !
I am searching for a furnished accommodation in the center of Kingston (K1 if possible), near the Kingston train station.

I am a French law student, but I speak a good English at least for a French person. I prepare the French exam to enter the school of lawyers. I am in London mostly to find an internship and study. However sometimes I like to go out but it’s definitely not my main occupation. I would love to discover the British culture, maybe travel a bit around London.

If I don’t find an internship I would like to stay from the 4th of January until mid April. And if I find an internship until the end of may