Can somebody recommend a moderate mosque in London?

Is there a mosque in London where you don't have to cover your hair and men and women are not segregated? I once went to the Ismaili centre in South Kensington and felt comfortable b/c it's a modern setting with men and women mingling and praying together. Everyone socialised after prayers, which I really liked. However, I am Sunni & only visited this mosque once to learn more about their faith b/c I lived with an Ismaili girl. Background on me: I am a 24 year old professional, born and bred in the UK and living in London. I am not particularly religious e.g. I drink now and then, eat McDonalds and have had boyfriends but grew up with Islam. As a child, we'd read the stories from the Qu'ran, fast and celebrate Eid. Over the years, I have lost touch with my faith but would like to re-connect. Are there other Muslims in London who are in a similar situation to me? I have no desire to cover my hair/body, alienate myself from men or give up alcohol - I see nothing wrong with the odd drink now and then. Everything in moderation....but I would like to fast once or twice this Ramadan and break fast/celebrate Eid with other like-minded Muslims. Am I asking too much or does this kind of a mosque exist in London? I live in Kensington so somewhere in West London would be ideal. Thank you for reading and I hope someone can help me. And please, no aggressive posts about what a terrible Muslim I am or recommendations to "clean up my act". I am a good, law-abiding person who is perfectly at ease with my moral code.