Hello,
New to the internet world. What do you suggest I do (wired, wireless, router, Modem?) when I want to connect to the internet from both my home computer which stay stationary and my laptop which I would like mobile?
Modems are mostly wired. You connect the wireless Router to the Modem through the Routers WAN port with ethernet cable, then configure it for Wireless. Instructions with the router will explain it.