DO NOT USE A PILLOW. Wrap baby in a cotton sheet with arms folded across chest, so that the sheet is wrapped fairly tightly. This gives baby a feeling of security. If the weather is cold, wrap a crib blanket around the sheet, lie baby on side & cover with a light cover. Young babies should be kept in a temperature of 65-70F (19-21C).
In hot weather, it's a mistake to over-clothe & over-wrap as they become too hot & sweat. During the day, if baby is put out in a pram, cover pram with a net.