OP, yes read the Admissions Criteria for all the schools you want, but also read the explanation of how your LA allocated schools in your LA website.
The system they operate is law across England.
I can see you feel under pressure because admission to your local school is under pressure due to the new housing. But that school will have to list each and every application in the order they meet the application criteria, whether that was a first or third choice application. They will then give that list to the LA. The LA will check your list, and if none of your higher preferences can offer you a place but your local school can, then they will allocate the local school.
The problem will be if there is so much new housing closer and all those people have applied and like you not got places in other further away schools. But if they live closer, they will get the places before you even if they put it third and you put it first.
The advantage of putting your favourite schools on the form from the outset is because you get two ‘goes’.
Most LAs keep people on waiting lists for every school you preferred to the one you were allocated. Once allocations are made, you get 2 weeks to accept. After this the LA makes a second round of allocations so if you had applied for a favourite school which was filled up, but then 10 places became available because offers weren’t accepted, and your application was one of the next 10 on the list they would offer you the place. Even though you have already accepted the place you were offered.
After all this they usually set a date when they accept ‘late applications’. This is the date you could apply to go on to the waiting list for your favourite schools (if you hadn’t listed them higher up your list) or any other school you wanted to apply to.
But by then you have already missed two chances (however slight) to get your preferred school.
Up to you.
What people are telling you here is what it will say on your LA website about the admissions process.