How do I get internet service for a desktop and a laptop in the same house?

I am moving in my own apartment with my girlfriend. She has a laptop and I have a desktop. I wanted to know what kind of internet service I should get so we both could be on our computers at the same time. And I just pay one bill. (If that is possible.) I am basically looking for the of this service. (Eg. Wireless internet, satellite internet, etc.)