Some of the Reputed Broking Houses are :
1. Motilal Oswal
2. Angel Broking
3. Indiabulls
4. Share Khan
etc..
Regarding low brokerage, I suggest not to go for it.
Although broking houses provide you enough liquidity but this way most of the time you will take wrong decisions.
Invest your money for value buying rather than to find cheap broking house.
If someone is charging cheap rates, surely their services would be also of same kind. When the market would likely to turn down in bearish phase; they will sell your stocks and you may incur heavy losses. At that time they demand immediate payments which you may not be able to cope up.