Ive got both (though I have a bubba moe sling but its simular). I would pick the close carrier easily over the sling when DD was a newborn. Unless you can carry your newborn in the sling while bub is upright. In the cradle position isnt the safest option anymore as it puts their chins to their chest and can restrict breathing. I didnt feel comfortable using a sling with DD until she was about 4 months old.

The close carrier is easy and comfortable. Also quite affordable