My zigbee Ikea motion sensors last 1-2 years at least (in a family home in commonly traveled areas).
Agree though a couple of Ikea bulbs and a couple of Ikea wall switches mean that the house is very well covered anyway. Only my Wiser heating system is more of a problem in that, without an (expensive because you have to buy their repeater) extender, the batteries in some of the TRV's that are further from the controller don't quite last 12 months (I'm in a large Victorian end-terrace so wireless signals are not ideal).
If there is a power outage, when power returns, the coordinator should automatically re-establish connections with all the other Zigbee devices. In my experience, this does not always happen, and re-pairing is necessary. Simple enough but it can be a nuisance if you are relying on the system.
I've never had to re-sync a zigbee device.