Euroschool in Madhapur would be suitable. The school does not stress the children much and are taught in a playway method. You can go through its website before visiting this school. However it doesn't have a big playground. It follows CBSE though. Aurobindo follows ICSE. You will not find ICSE schools in and around ChandaNagar. You can try in FutureKids in Nanakramguda which is a ICSE school. I doubt if they follow a playway method. I am not aware of it.
If you are interested in playway method, you can try Waldorf system which is followed in Prerna Waldorf school in Telecom Ngr , Gachibowli and Sloka Waldorf School.
Sloka though very good would be far for you. It is in Aziz nagar (on Chilkoor road).There are children who go to this school from Hi-tech city too. It takes 35 to 40 min.
If you want to know more about Waldorf system please go to the following link
www.slokawaldorf.org Tel: +91 08413 235050 (Grade School at Aziz Nagar)
www.waldorfprerana-india.org Prerna waldrof school - 040 23545930
www.fkshyderabad.com Tel : +91- 040 -32519742/ 9959555342
http://euroschoolhyd.com/ 040-65888855 / 040-64523377
Generally the schools give application forms for class 2 depending on the vacancies in the month of Feb/Mar/Apr. Kindly call up these schools and find out.
If interested you can have a look at Genesis International which follows CBSE till 5th and then State board till 10th , The Creek in Bachupally (CBSE) and Sentia-The Global in Miyapur. (CBSE)
Children are enjoying in Sentia as it offers many extra-curricular activities as well.
Out of the above three, you can prefer Sentia followed by Creek and then Genesis.
Please visit the schools, talk to the counselors as u have lot of time to decide .
Admission to all the above schools is easy except for Euroschool. But if you approach them before the academic year begins, the chances are bright.