1-2 weeks a month

Hello,
I am a professional in the medical field working part time in London looking for somewhere to rent for 1-2 weeks per month, starting with a few nights and building up to two full weeks. I am very relaxed and easy going, like to chat and say hi but have my own life outside wherever I will be staying. I would be open to a price per night, for two weeks or for a whole month if not too expensive. Open to living with whoever as long as friendly :-)