Russ, could you explain the difference between ethernet and wireless. Short words please, I'm 63 and not too knowledgeable of electronics.
I'll jump in with a quick answer---hope Russ doesn't mind.
Ethernet runs on wire, usually a wire cable that looks something like a telephone cable, except that it has 8 wires when the telephone cable has (usually) 4.
Wireless is simply using a 2 way radio, usually from a "router" back and forth to the computer.
The data going back and forth over each of these systems is in different formats and speeds, but in the end you will see the same data on your computer.
Because wireless is a radio, someone can intercept and decode the signals and see what you are doing. The radio signal in encrypted, but there are ways to break the codes, some easier than others.
Ethernet, because it is a physical wire, can't be intercepted unless someone physically gets access to the wire.
Now, the router is usually is attached to a modem. The modem is the box that hooks up (in a home setting) to the wire/cable that gets you to your internet provider. The purpose of the router is to provide the radio access to the internet through your home.
If you only have 1 device (e.g. the computer) that needs internet access, typically you can cable the computer directly into the modem using the ethernet cable. At that point your done and secure.
OTOH, if (like me) you have a couple of computers, smartphone, and a disk-player that want internet access, you probably want to use the router and have access all through your home without running cables all over the place. But you now run the risk of having the radio signals intercepted, decoded, and your information compromised.
Hope this helps.