You may have a defective AirPort Express. Temporarily, power off the AirPort Express.
Move your Mac (do not use an iPhone or iPad to test WiFi speeds) close to the AirPort Extreme and run a few speed checks on the Internet connection using a site like www.speedtest.net Jot down the average speed
Hold down the option key on your Mac while you click on the WiFi menu at the top of the screen and look for the BSSID. Jot down the last few characters of the BSSID, which the device ID of the AirPort Extreme.
Power up the AirPort Express for a minute or two, then move your Mac close to the TV and run a few speed checks that way and note your average results.
Then, hold down the option key again on your Mac while you click on the WiFi menu at the top of the screen and jot down the last few characters of the BSSID.
If the Mac, which is near the TV, is picking up the signal from the Express, you will see a different BSSID than you saw on the AirPort Extreme. If you see the same BSSID as the AirPort Extreme when the Mac is close to the TV, then you know that the AirPort Express is not extending the network at all.....since the Mac is picking up the signal from the AirPort Extreme, not the AirPort Express.
Please report on your speed test results and the BSSID test.
As far a powerline adapters are concerned, I have tried a number of them and have yet to find a brand or model that I would recommend.
The speed claims for powerline adapters are theoretical. They always assume that both adapters are on the same electrical circuit and not far from each other as well. In practice, the adapters lose an unpredictable amount of speed when they are not on the same electrical circuit. I can give you the technical reasons for this as well, if you are interested.
That being said, some users report that powerline works OK in their home. But, if you want to try powerline, you won't know how well......or if.....things will work in your home until you try them out in your home.
If wireless won't work to extend your network, and you are convinced that you cannot run the Ethernet cable (an electrician can make the wiring disappear in most cases), you could try powerline.
If your TV has an Ethernet port, my advice would be to connect the powerline adapter to the TV and not even try to fool with wireless at all for the TV.