Merchant Accounts and payment methods with online integration.

Hey everyone,

 I am looking for any information you guys have on which merchant account provider would be the best to use for a small business. I need something that I can have the ability to take debit or credit cards, while also integrate into an online payment. I am a small business so I was hoping to avoid monthly fees. And I have used SquareUp in the past but they do not offer an adequate online website integration feature. I've thought about PayPal but they had a higher debit and credit card usage fee. I was wondering if there was a good single provider that would work for both, or is it best to have PayPal for online and SquareUp for in person transactions. I also use Quickbooks online for my bookkeeping, so there is a small option there as well.