The firsrt question you need to ask, if you are planning to live where you are currently living at the point that you make the application abnsd are hoping to use state education, is:
"Which state primary schools do I have a reasonable chance of obtaining a place at?'
You can get outline information from the admissions book produced (electronically or on paper) each year, as it will give information about admissions for the previous year, including (usually) number who made it first preference, numbers admitted under each heading of the admissions criteria (e.g. siblings, SEN, distance etc).
Despite the APPEARANCE of school choice, it is rare to have much genuine choice. For example, where I live at the moment, if I were to be applying to a state primary school for reception, I would have 1 school close by where I would nomally stand a chance of getting a place, but 2 years ago I would have lived too far away to get a place there (although I can see the school from my front door).
Under those circumstances, the only schools I would have been given a place at were under-subscribed, poor performing schools over the other side of town.
So do not start looking at lots of schools that you might fall in love with before you have had a loiok at which ones you realistically have any chance of applying to successfully!
Obviously privates - including most Montessoris - don't have this limitation.