My son goes to Magdalen Nursery near St George's Grove (there are two in earlsfield)
The nursery is fantastic - small and friendly and feels like I have to drag him away some days as they're having such a good time! When he's struggled with things like settling or changing room the nursery have been incredibly caring and helpful.
Only issue is the waiting list - you'd need to get your name down pretty sharpish and if you're taking less than a year off, may struggle to get them a space for next year. We've just been confirmed a space for our second but know the list is very long!!