Olive , I'm going to be biased and suggest Lanzarote as I've been going there a few years on the trot , I always go to Playa Blanca and it's the quietest of the main resorts , but would suggest Puerto del Carmen on the basis that my mum and her 2 sisters went there a few years ago when in their late 60s and really liked the Old Town , my mum doesn't like very hot weather even though October there is very pleasant and warm , one of my aunties only eats " English food " and the other auntie is more used to upmarket dining , and they all enjoyed their time there very much and found great dining and entertainment in the evenings , enough shops to look round and varying activities to do other than relaxing round the pool,.