Hi, more or less, all banks provide similar facilities, but a private bank is more responsive to customer queries. However, they have more charges than a govt bank. So, at initial stage, you can choose according to your needs.
ICICI Bank, IndusInd Bank, Kotak Mahindra and HDFC are more popular. But, Kotak has an additional benefit that it can provide interest of 7.5% p.a. even on current account on amount exceeding Rs 1 Lakh.
So, it's a personal choice, depending upon your suitability.