Homey supports Zigbee devices manufactured by a wide range of brands. To see if your device is supported, you can just search for an associated app on the Homey App Store.
Adding Zigbee devices to Homey
To better understand the process of pairing new Zigbee devices with Homey, you can take a look at this tutorial.
Zigbee range
The wireless range of Homey depends heavily on the technology you use to control devices.
Generally speaking, the typical Zigbee range is 30 meters. Please note that Zigbee uses the same bandwidth as your Wi-Fi network and is thus subject to some interference.
You can learn more about extending the range and building a stable Zigbee network in this article.