to start with get yourself a SBI Account and activate your netbanking once you get a hold of your debit-Atm card. The minimum AQB is 1000/- with cheque book else 500/-.
Also SBI has gone even one step ahead and are in the process of issuing a VISA card now a days. You have to file an application separately for this.
Also the annual charges and other facilities are charged nominally.
Now if you wish to have another account too, start of with a private bank, now upfront AQB ranges from 2500 for semi urban to 10000 for an urban account. Though there is a whistle blower like this at most times due to heavy competition most promises are lived upto. Other Extra charges are little to on the higher note.
So its wise to start of with SBI and later add a private bank after YOU KINDLY PATIENTLY READ THE FINE PRINT! Unless its a salary account please do read the FINE PRINT ESPECIALLY FOR ICICI.
Personal Choice at the moment; SBI, HDFC