Warning about Notifying the LEA
In their booklet the LEA suggests that you should let them know if you intend to home educate your child and that this has something to do with School Admissions - it doesn't. It is actually to do with keeping tabs on what you're up to.
If the LEA is not aware of your child - i.e. if you haven't made them aware - you will be left to get on with home educating as you wish. If, however, you inform the LEA of your wish to home educate, from that moment on the LEA has to satisfy itself that your child is receiving a full time education.
A not very good analogy would be a doctor - if you go to the doctor with a worry about your health, from that moment on the doctor has a legal duty of care over you. However, if you don't go to your doctor at all, the doctor has no legal duty and your health remains your personal responsibility.
Strangely enough, if you inform the local LEA of your wish to home educate they are then under an obligation to satisfy themselves you are doing this. The law treats people who inform their local LEA's as if the very act of informing them suggests that they are in need of supervision.
The actual medical analogy is more like going to you doctor and saying that you feel fine, but the doctor takes this as a sign of some hidden problem and then insists on yearly check ups!
My advice is, if you feel fine, don't talk to the doctor!