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Book in advance via the web
The Premier Inn South Bank is on the south bank of the Thames, a it's very nice as the whole riverside is pedestrian with plenty of restaurants and bars around. You're in the medieval heart of London, which is small, but known for very good bars and restaurants. Premier Inn is a hotel chain so you can get a good price if you book in advance via the web. Rooms start at £ 80/night, the normal price is £ 115 without breakfast.