Usually a wireless router can be used strictly as a wired one (just would cost more).
So this comes down to your preference.
I would only get the wireless if you have any laptops with wireless or you just don't want to run wires in your house for the wired.
Wired routers are safer, No one can conect to them unless they can physically get to them, wireless can be safe, you just have to set it up correctly.
One thing I will warn you about, I set up a wireless router for my parents, they have comcast cable internet, same type of thing you have, with the phones and everything. I spent over an hour trying to set this up. What happened was comcast only let my mac address (for my laptop) to use the internet. So I had to clone my mac address into the router and now the router will appear as if it was my laptop.
You may not have this issue either. I set up another internet (also cable, just a different company), and I didn't have to bother with the mac addresses.
I'm just letting you know this incase you run into any issues.