For smaller children there is heavily subsidised preschool (max monthly fee 1600 SEK or so where I live) that you have a right to if you are working (i.e. not on vacation), I think there is "fritids" for older children? It's so far away for me that I haven't looked into it, but AFAICT if your kids are not old enough to take care of themselves at home they are usually entitled to some sort of care.
I keep forgetting that childcare is generally unavailable, unaffordable, or both since where I'm from I've never heard of anyone unable to afford childcare.