One better-kept secret is that iOS and iPadOS are able to be connected to a computer network using a standard Ethernet "hardwire" connection. Of course, these devices are too small to contain the standard RJ-45 port which means you'll need an adapter.
The good news is that Apple devices can use many USB peripherals using the Apple Camera Connection Kit. We recommend using the Lighting to USB 3 Camera Connection Kit that allows for better delivery. Once you have one of these attached to the device, you can use an Apple USB to Ethernet adapter to connect to a wired Ethernet connection. If you're using a newer device with USB-C, you could use a similar process, for instance using Apple's USB-C Digital A/V Multiport adapter instead. That would allow you to use both USB devices as well as HDMI for external video like lyrics projection or stage monitor mode.
Of course this can all be a bit awkward with adapters connected to adapters (thanks Apple). The good news is that there always seem to be a more elegant way to do this. There are products that allow you to connect a Lighting port device to Ethernet while also powering your device such as the Redpark L6-NETAC Gigabit Power Adapter for iPad. Unlike some earlier Redpark device, this one is automatically recognized by iOS and iPadOS as an Ethernet device and allows it to be used directly with any app. You can also find other devices such as these on Amazon. Of course using generic products runs the risk of poor customer support so your mileage may vary.
When you connect an Ethernet adapter to your device, you will see a new entry in the Settings app that you access from the Home Screen on your device. In addition to WiFi, you should now have an Ethernet setting too if you're on an iPad. You can configure your network further through that settings screen, although it should "just work" as long as your network is configured to automatically dispense and connect devices on your network using DHCP. If you are using an iPhone or older iOS version, the Ethernet setting may not appear but the connection should still work, albeit without any available options to customize the network settings.
We've put together a tutorial video to highlight connecting your device to a network over Ethernet. It may be a little old, but the concepts still apply today.