Hi Berry,
Hope you and baby are doing well.
I totally loved the babysense sleeping bag. There is a summer one from cotton and a warmer winter one for winter.
www.babysense.co.za/shop/summer-slumber-...stone-blue-dots.html
If you know your way around a sewing machine it is quite easy to make your own as well. I made nice winter ones from cheap polarfleece material, easy peasy.
My experience was that it is only until much later, closer to 2 years that they are capable of sleeping under a blanket and pulling themselves close again should the blanket move away.
Otherwise you could try to dress your baby similiar to the amount and thickness of blankets that you would use at time in the season. Maybe now a lightweight soft cotton babygrow would work at nighttime since it is becoming slightly cooler?
You really don't need a pillow! I know it is strange to believe!