Hi Pooja,
As a proprietorship firm registration is not required. Only Partnership firms and Pvt Ltd companies need registration. To open a current account you need to make rubber stamps with the firm's name that you have chosen and you will need your individual PAN card, photos to get a current account opened
However since you are the 'Services providing business" if your annual turnover exceeds Rs. 9 lakhs then you will need to register for Service tax and collect it from your client. trust this helps