Um I'm not sure what a bunny rug is, I've never actually taken any notice of what mine are called LOL

I use the wraps to wrap them up to go to sleep, and if they are still cold then I put a blanket over the top. I live in Queensland though, so if I have a summer baby I don't use a lot of blankets. I had babies in winter in tassie though, and used more blankets then, sometimes I would wrap in a blanket (a thinner type one) and then covered with a blanket too - depends if it was bloody cold or not.