ShlomiL, thanks for the response. I've been out of town; but I'm back now to try to resolve this.
1. Regarding the ethernet cable option, my computer has only one ethernet port connected to a simple modem. Does this mean I have to now buy a router (after figuring out which router is compatible with my internet service provider)?
2. Hooking up this printer wasn't a problem with my other computer, which used a simple USB connection. I downloaded the software from HP's website years ago. But that machine ran on Windows 7. Is the fact that my new computer runs on Windows 10 the problem?