Suggest buying a modern Zigbee Coordinator USB radio adapter and installing either the ZHA integration for Home Assistant (which is very easy to get started with as it fully embedded) or using the stand-alone Zigbee2MQTT (which is more flexible but not embedded and instead integrates via the generic MQTT integration so the experience it is a little more like running a separate hub/gateway/bridge like the Philips Hue Bridge):
Yes ConBee II will work (with the latest firmware), however, instead recommend getting either a Silicon Labs EFR32MG21 based radio adapter if planing to use Home Assistant’s own ZHA integration solution or get a Texas Instruments CC2652P based radio adapter if planning to use the third-party Zigbee2MQTT solution.
Regardless of which Zigbee solution go with or which Zigbee Coordinator radio be sure to read these:
Try to follow this as best you can → https://community.home-assistant.io/t/guide-for-zigbee-interference-avoidance-and-network-range-coverage-optimization/515752
Also see → https://www.home-assistant.io/integrations/zha#defining-zigbee-channel-to-use
As well as follow this too → https://www.home-assistant.io/integrations/zha#best-practices-to-avoid-pairingconnection-difficulties
Tip for upgrading Philips Hue devices with latest OTA firmware recommend check out the ZHA Toolkit if go with the ZHA integration → https://github.com/mdeweerd/zha-toolkit
Check out this community-contributed database of devices → https://zigbee.blakadder.com/
Personally I would just like to generally recommend not getting any Tuya branded or rebranded/OEM Tuya devices that are mains-powered (note that a majority of cheap Chinese devices are made by Tuya), nor any Aqara or Xiaomi branded devices that are mains-powered, (however their battery-powered sensor devices are normally quite good so those are usually fine), as while very inexpensive they are usually not as compatible as mains-powered devices that are not manufactured by Tuya or Aqara/Xiaomi