No wonder I've really gone out of my way to source fantastic Baby Swaddles for my markets that do just this and I love Australian designer Lila & May who handmake each Swaddle individually.
The Lila & May Snuggle Pods are lined with bamboo which is perfect for sensitive baby skin! It's incredibly soft, breathable - so warm in winter and cool in summer, naturally antibacterial and hypoallergenic. It's also practical, being naturally stain and odour resistant and machine washable.
All this and they're stylish too!