Oops sorry! Forgot this. Kemptown would be fine. It's a v liberal bit of the City. Used to be the centre of gay culture and has Green councillors so probably perfect. Ten minutes walk down to the Steine maybe. Chat on here will probably pick up people with better suggestions than me as we moved out a couple of years ago.
Just to say we had a fab time, weather was amazing, no coats needed! The apartment was a gem, comfy and great position. Girls spent most of their time and my money on the pier, though I did drag them to the museum which was excellent. I walked and walked, didn`t realize it was so hilly, shopped till I dropped as there was amazing bargains for Christmas. Lovely choice of cafes and restaurants and reasonably priced So a good time was had by all !