You are right about school, assuming you are in England she will be almost 5 when she starts as you have to be 4 by 31st August. So lots of time for school admission for Reception.
The information below is cut and pasted from my LAs website regarding nurseries.
Nursery schools and nursery classes in Community and voluntary controlled infant and primary schools:
September 2014 entry Closing date for applications – 28 March 2014
January 2015 entry Closing date for applications – 26 September 2014
April 2015 entry Closing date for applications – 16 January 2015
Nursery classes in voluntary aided and foundation schools and academies - check with the individual school for the closing date.
This would mean that in the case of your DD you need to apply by 26th September for next January. Like schools admission is by set criteria so when you apply is irrelevant as long as it is by cut off date.
Private pre-schools, like the one my DC went to in a church hall, is totally different and may have their own waiting lists in date order. Mine started when they were 2ish and I paid until the funding started.