Process Credit Card in Background

I primarily do business in USA and am trying to figure out which of your credit card plug-ins allow me to take credit card information on my website (without the buyer having to be redirected to the credit card companies website) and then process the order in the background. I realize Authorize.net AIM and Paypal Pro do this, but can't figure out which others ones do. Can you help me with this?

Indeed, these two plugins can do it.

CardSave, FirstData, Intuit Innovative Gateway, iPayDNA, PayJunction, Paymentech and Payment express all allow for that.