I live in Hyderabad and I know quite a few English language teacher's but I would advice and suggest you to not go for 'popular' names because I have experienced all the popular teachers of Hyderabad.

Believe me, You can learn all by yourself just like I did. I learned by going through Dawn newspaper daily and chatting in English. Do not go for grammer books because that is the main culprit and we all learn the rules and memorize them but never get to learn the usage of that grammer.
If you can not get the newspaper at home then read the e-paper. Newspapers can be boring initially but read what you love like maybe sports or political stories. Political stories are fun and you can follow up the story the next day just like episodes of a drama lol

if you need any help then you are most welcome.