Wireless is straightforward using your WiFi. You need a Google Chromecast - you can pick one up for $25-35 - and something portable with WiFi like a laptop or Android/Apple tablet or phone.
If you're unfamiliar with Chromecast, its a round thingie that plugs into the back of your TV and basically links your portable device with your TV via WiFi, and once connected your device kind of acts like a remote control. Most people use it to watch online TV or movies (e.g. Netflix) but all kinds of apps are compatible with Chromecast - which includes photo apps, allowing you to "cast" your photos to your TV.
Much simpler to use than to explain! One method: https://support.google.com/photos/an...DDesktop&hl=en