Moving to Birmingham

Folks, we are shifting base from India to Birmingham, UK. This comes at a point where our son’s school is a very crucial consideration for our move. Am here seeking help from all of you on

  1. Which School? We want to ensure he gets into a Grammar school. Since the session has already started, will they consider him for the admission midway?
  2. Our budget is about £800 PCM. Which area shall we look at that has good parks, not congested, good train connectivity for London (Wife has to travel twice a week) and city center (her Birmingham office)

I am going insane thinking and researching about it. If anyone can help with school, it will be great for us. TIA