Moving to Nuremberg

Hello all,
I am currently living in Coburg and would like to move to Nuremberg by end of February 2020.
I will be moving with my wife and 2.5 year old son.
So I have some questions and can anyone give some recommendations

1. I am looking for a 4 room apartment in a location which is not so expensive and has good public transport connection. Please let me know if know any locality or area of Nuremberg

2. How is the situation for kindergarten in Nuremberg. How much time should I wait for getting a place after registration.

3. How is the demand or availablity of 4 room apartments  for rent.

Please give me some hint or information if you have as I am starting everything new .

Thank you
Best regards
Kaarthikeyan