I know about SIDS/hats and about grobag/blankets - I hate that he has them on but DH insists he's too cold otherwise. That's why fleece gloves are just a step way too far.
We live an old house with no double glazing and it's impossible to get it warmer. Heating already runs all day/night. Am putting up insulated curtain linings to hopefully keep it a bit warmer but until I can sort that, we're stuck this way.