You have plenty of time yet to look at schools, and to find out what your options are. Don't panic! There is no benefit to applying early; just make sure you are not late. In some areas the deadline is very early in January, so find out the date and stick it on your calendar or fridge.
All the schools in our area held open days in the autumn. This is a good time to visit as there will be other parents in the same situation as you, and they may ask some questions that didn't occur to you. This dates are usually on the school websites, or just phone up the schools you are interested in visiting and ask if they are having open days.
DH and I visited seven schools in total, which seems ridiculous, but we live in an area with infant/junior and primary schools, so wanted to consider the range of options. We could have got into all these schools (except one, and the two juniors of course) on distance, so the order of our preference would have been relevant.
You should also bear in mind that distance is only one of the criteria, so if you are looking at faith schools, or your child has particular needs (social/medical), make sure you allow yourself enough time to get the supporting information ready. Your local council can tell you what the admission criteria is for each school (or you can find it on their website).
Finally, look carefully at how to get to the schools in your area, since you don't have a car. I hadn't passed my driving test when we applied but I knew worst case scenario I knew I could get to our first-choice school on one bus.
If you still find yourself confused once you have the info through from the council, there are lots of people on here who will help you to decipher things!