I want to get Netflix but my TV is not compatible?

I bought a flat screen TV a few years ago, a pretty good deal at the time, as it was the last of its generation to NOT be directly internet capable. It is a Panasonic Viera, 42 inch, brilliant picture and still works perfectly and I love having it.

Now I want to connect something to it that can pick up wireless so I can get Netflix. What is the cheapest way to do that? I understand fully that a device like a Wii or a blu-ray player is a vehicle for wireless but I don't also happen to have those, and I don't need video or gaming. Just the wireless. Is there a no frills device (a cable or a box or a gizmo) that can do this without spending a lot of money?

Also I have two TVs. The one I just mentioned, and the one in the back bedroom which is a dinosaur and not even a flat screen. It does have digital controls.

I wonder if I can connect something at the router so that I can use Netflix on both TV or do I need a separate netflix account for each TV?

I am hoping maybe if I have enough selection from Netflix, I can scale way back on my cable.