I grew up on a farm and still live in a rural area, so we are very used to power cuts here when the wind gets up and trees come down etc.
We have a few sets of LED pillar candles which were great when DD was younger as they were safe to put in her bedroom and we could leave one on in the bathroom etc. I also have lots of other candles, which I would use in the living room.
I have several power banks already, so would charge them all fully if we were to get blackouts. I do anyway now if there is bad weather forecast. I would probably buy a couple more if I knew we were going to get blackouts.
I also have a gas camping stove for when we get power cuts, so I would get more gas for that, and the cupboards are always full of tins of soup/beans/spaghetti, so we would be fine. We always have plenty of milk and cereal too, and cheese and biscuits, so wouldn't worry at all if we couldn't cook anything.
I would stock up on books from the charity shop as well, so I don't have to worry about keeping the ipad charged to read on kindle.