Hi Joe!

Yes, powerline is a good candidate to solve your problem. Looking at product maturity, I'd resort to the AV1200 line, the TL-PA8030P in particular. With the latest firmware, I have brilliant throughput figures in my own house, and the latest firmware update enabled some vital mechanisms for video streaming.

You would buy a pair kit of these, update the firmware straight out of the box before doing anything else. Then pair them while they're close together (e.g. in a power strip), best done using the button method (see manual) for a random, "safe" encryption passphrase. Deploy: On the router end, plug one of them into the outlet the router uses and plug the router back into the passthrough, run one LAN cable from the router into the PLC. On the TV end, again plug the PLC into the outlet used by all the TVish devices, and plug the power cable into the PLC's passthrough. This lets the PLC filter out all the electrical noise that backfires from those devices into the main power, and also filters the PLC data "noise" from firing into the devices. Run LAN cables to whatever needs a LAN connection - TV, BluRay, games console. Enjoy.

If you'd prefer to have WiFi in the basement too, I'd recommend an 8630P kit - but I'd still connect everything that has a LAN jack to wired LAN, and leave WLAN to all the portable stuff that doesn't.