Is it solely a business bank account you require or a merchant account?
If it's just a business account apply online, just state your industry is marketing, you don't really need to be any more specific unless you want a business manager for face-to-face advice then get your story straight as the application may be done in person, otherwise just state online account in your application.
There may be a few checks if you require any form of credit facilities with the account, but apart from that bank wont be too concerned as long as you're not involved in any illegal activity or money laundering.
A merchant account on the other hand will require more information, they'll set your fees on the type of business you conduct so you should be upfront.
If you have any difficulties due to poor credit in the past you could try registering a company with company house, after a few failed business bank account applications as a sole proprietor I registered a company and was approved with the bank first time.
Hope this helps.
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