Just thought I'd pop back to say what's worked for us. So I tried the sleeping bag for a couple of days and that was good but sometimes a hassle to get her into because she's a very wriggly baby. So then I stopped using the sleeping bag and started using a little blanket that she liked being tucked into in her bassinettte - a really soft fluffy one. I just put that down with her and she cuddles into it, rolls over and puts her thumb in her mouth. Very cute.

She still has her moments but if I"d thought of it earlier, I'd say make sure you give them something familiar when you're moving them from one bed to another. I honestly don't know why I didn't think of that earlier!