22-year-old looking to stay in Madrid for 2 months

I'm a 22-year-old graduate who is looking to see what its like living in Madrid for a while. I will be there from the 1st October - 29th November and would like a room for these dates. I'm a friendly guy and really keen to meet as many new people as possible. I will be teaching whilst I am over there. I'm tidy and will always do my fair share of work around the flat. I speak English but am currently learning Spanish, happy to live with native Spanish speakers as I think this can only help my learning. I am open to any location in the city but central would be ideal.