Never put a barrier between your business and your customer.

When you accept orders through your website, provide as many payment options as is practical for the way you run your business. If you accept credit cards, also consider allowing your customer to call through their credit card details. Don’t forget bank transfers (direct deposits,) which save your merchant fee costs. And, depending on your target market, you might explore PayPal, or consider accepting cheques or money orders.

And, no, there is no risk in displaying your bank account details (BSB and account number) during an order process — the worst someone can do is put money into your account!