Dd needs to be in Holborn for university to do her postgraduate course.
She wouldn't mind commuting in from somewhere further out like Clapham as long as it is cheaper than somewhere within say 30 mins walking.
She wants to be somewhere safe. We looked at Lewisham but it felt unsafe to us, but that might be because I am not used to cities.
Her budget is low, and is looking with a friend. Ideally her budget would be £1500 for a two bed flat, but there is a bit of leeway if one room is nicer than the other for her friend. So up to £1800 a month.