You go to Bank A - collect an account opening form. Paste your photos, attach copies of documents which verifies you are who you are claiming to be and at last, waiting for your approval. The same process has to be repeated if the application is rejected. Okay, somehow you managed to open an account with this bank. You are not expecting just a savings account from a bank, are you? As time passes, you might need a credit card/loan etc. The same above-mentioned process repeats.