Installing a Printer on wireless laptop on a home network

I purchased a miniDell. I have an HP C6380 All-In-One printer on a home network. I have two other laptops and a desktop on my home network. I went to install the printer on my miniDell and my HP model is not listed. Can’t use an install CD since the miniDell does not have CD capability. I tried a couple of the other HP models listed, but they did not work. How do I determine what other models are compatable or is there another option?