I recommend Fiona's place.
Fiona is simply delightful, friendly and a very easy going host.
She made me feel incredibly welcome. The house is nice and really well located, right by restaurants, cafes, bars and green spaces.
Perfect for my visit. I stayed 12 nights and I enjoyed both the nice talks we had and the location, this place is very near to Chorlton square and also near the Beech Road pubs and restaurants. It is Very central and comfortable to reach Manchester city by bus or train.
Will definitely come again during my next visit !