Lovely apartment in a beautiful area with lots of quaint pubs, cafes, and independent shops.
Some hotels are available closer to the new town or old town. However, staying in one of these would mean missing out on a very pleasant (~20 minute) walk to the old town through beautiful architecture.
The small Stockbridge Sunday market is very close and sells nice meats and breads, etc. A very posh off-licence is nearby also (although it closes at 2000).
Would thoroughly recommend!